Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D

Answers

Answer 1

The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The inequalities are,

2( x +6 ) > -6( x +1) +2

2x + 12 > -6x - 6 + 2

2x + 6x > -12 - 6 +2

8x > -16

x > -2

-3x - 1 ≥ 20

-3x ≥ 21

x ≥ -7

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Related Questions

In a group of 500 people determine how many are suspects in the following scenario.

A wallet was stolen from an office in a building with 500 employees. The suspect was wearing black pants, a white button-down shirt, and a multicolored tie. In one of the offices in the building, the following data was collected.

30 people total in the office

22 wearing a white button down shirts

16 wearing black pants

7 wearing a multicolored tie

Using the data, how many suspects are there?

Answers

Using the given data, the number of suspects is; 7

How to find the intersection of mathematical sets?

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects = A ∩ B ∩ C = 7 people

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