What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Answers

Answer 1

Given:

The inequalities are:

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

For [tex]-2<x<3[/tex], the possible integer values are

[tex]x=-1,0,1,2[/tex]          ...(i)

For [tex]-2\leq x<2[/tex], the possible integer values are

[tex]x=-2,-1,0,1[/tex]        ...(ii)

The common values of x in (i) and (ii) are

[tex]x=-1,0,1[/tex]

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.


Related Questions

1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.

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Answer:

58

Step-by-step explanation:

57.5 round up. 58

PLEASE HELP ASAP!!! i’ll mark brainlessly

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1.5 km per hour

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Answer:

c

Step-by-step explanation:

8t=−32

Help a sister out

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Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.

Answers

C. I’m pretty sure it’s that one if it’s wrong I’m sorry

What is this? Someone please help me

Answers

Answer and Step-by-step explanation:

Haven't done this in a while, so here we go:

The rule (I'm not really sure) would have to be negative number and negative number.

This means that:

(4, 0) would become (-4, 0) A'

(6, -2) becomes (-6, 2) B'

(8, -7) becomes (-8, 7) C'

and (0, -5) becomes (0, 5) D'

#teamtrees #WAP (Water And Plant)

1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40

Answers

Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100


give your answer as mixed fraction and simplest from .​

Answers

Add the whole numbers.
Then add the numerators.

2 2/6 + 3 2/6 = 5 4/6

Simplify the fraction

5 2/3

What is the 149th term in the arithmetic sequence below?
3 11 19 27

A) a(149) = 1187

B) a(149) = 1199

C) a) 149) = 1184

D) a(149) = 1189

I got 141 obviously that's completely incorrect plz help ​

Answers

Answer:

1,187

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Given the sequence 3, 11, 19, 27...

a = 3

d = 11-3 = 19-11 = 8

n = 149 (since we need the 149th term)

a149 = 3 + (149-1)(8)

a149 = 3+(148)(8)

a149 = 3+1,184

a149 = 1,187

Hence the 149th term is 1,187

Brianliest for correct answer

Answers

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Daniel works for 3 hours one day he gets paid $6 an hour.​

Answers

he’d get $18 dollars for working 3 hours

0.7 mm to centimeters

Answers

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

I NEED HELP OMG PLSSSS

Answers

Answer:

m = 3

Step-by-step explanation:

-5m - 10 = -25

-5m = -15

m = 3

Answer:

[tex] - 5m - 10 = - 25 \\ - 5m = 10 - 25 \\ - 5m = - 15 \\ m = \frac{( - 15)}{ (- 5)} \\ \boxed{m = 3}✓[/tex]

★ m=3 is the right answer.

can i please get some help asap

Answers

if my math is right it should be b

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute
PLEASE SOON!!

Answers

Answer:

In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).

Select the procedure that can be used to show the converse of the

Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and

5 cm

Answers

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

Answer:

c

Step-by-step explanation:

Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width

Answers

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

a cupcake recipe calls for 4 cups of flour into cups of sugar. Angelica only has three cups of flour. How much sugar would she need to keep the ratio equivalent if she uses all the flowers she has?​

Answers

Answer:

she would need like 2cups of sugar

Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.​

Answers

A = πr². So, 14 / 2 = 7 inches (radius). A = (3.14)(7)² || A = (3.14)(49) || A = 153.86 Inches ². Hope this helps!

If f (x) = 4x-3, what is f (x)"?

Answers

Answer:

4x-3

Step-by-step explanation:

F(x) is a function group. In this scenario, f(x) = 4x-3 where x is equal to x.

3x 10'4+ 2.5 x 10’5 =

Answers

I believe your answer is 280000

A new soft drink has 20% less sugar than before.
The drink had 50 grams of sugar originally.
How much less sugar does it have now?

Answers

20% of 50 is 10 (50 x .20 = 10). If the original drink had 50 grams, and the new one has 20% (10 grams) less...then the new drink would have 40 grams of sugar (50-10=40).

The required amount of sugar is given as 40 grams.

Given that,
A new soft drink has 20% less sugar than before. The drink had 50 grams of sugar originally, how much less sugar it has now is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
The final amount of sugar = [1 - 0.02][50]
                                  = 40 grams

Thus, the required amount of sugar is given as 40 grams.

Learn more about simplification here:

https://brainly.com/question/1369388

#SPJ2

What is the value of tan(60°)?
A
12
30°
B
60°
14

Answers

Answer:

the answer is 1.7320508076

Which expression is equivalent to -6(3x-2/3)

Answers

Answer:

-18x + 4

Step-by-step explanation:

Solve each equation.


2x=52x=5

answer asap plz

Answers

Answer:

The correct answer for this problem is 55

what is the simplified form of √45
A) √5
B) √9•5
C) 3√5
D)5√3​

Answers

The simplified form is C .

Try the following puzzle:

A bat and ball cost $1.10.

The bat costs one dollar more than the ball.

How much does the ball cost?

Answers

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

2. Simplify the expression by combining like terms. 3y+4y+6
A. 13y
B.7y+6
C.12y+6
D.18y

Answers

B.7y+6

Add 3y and 4y together since it’s both y

Answer:

B

Step-by-step explanation:

Y is the like term here, so add them together: 3y+4y=7y.

So now you have 7y+6

Please help me with this equation, you are supposed to find x

Answers

Answer:

I believe its 2/3

Step-by-step explanation:

s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s

Answers

s=(10)(1/2)+(1/2)(-2)(1/2)^2
s=5+(-1)(1/4)
s=5-(1/4)
s=4 and 3/4 or 19/4
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