Question

Could someone do these questions for me, I did them already, I just want someone to compare answers to!!
--Thanks!!

Answer 1

Using the absolute value function, we have that:

21. Options c and f are true.

22. The range is between 47% and 57%.

What is the absolute value function?

The absolute function is defined by:

• |x| = x, x ≥ 0.

• |x| = -x, x < 0.

It measures the distance of a point x to the origin, hence for example |2| = |-2| = 2.

For item 21, the inequality is:

2|4x - 2| - 3 > 33.

2|4x - 2| > 36

|4x - 2| > 18

Which means that 4x - 2 is either less than -18 or more than 18, hence:

4x - 2 < -18

4x < -16

x < -4

4x - 2 > 18

4x > 20

x > 5

Hence option c and f are true for item 21.

For item 22, we have that the difference between the percentage and 52% is of at most 5%, hence the absolute value equation is:

|x - 22| = 5.

Hence the minimum and maximum values are found as follows:

• x - 22 = -5 -> x = 17.

• x - 22 = 5 -> x = 27.

More can be learned about the absolute value function at https://brainly.com/question/24837065

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