Question

The results of a political poll indicate that the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Let x represent the true percentage of votes received by this candidate. Write an absolute value inequality that represents an interval in which to estimate x.

Select one:

a. |x - 52| ≥ 0.05
b. |x - 52| ≤ 0.05
c. |x - 0.05| ≥ 52
d. |x - 0.05| ≤ 52

Answer 1

The absolute value inequality that models the function is given by:

• b. |x - 0.52| ≤ 0.05

Absolute value:

• The absolute value function measures the distance of a point to the origin, and is defined by:

$|x| = x, x \geq 0$

$|x| = -x, x < 0$

In this problem, the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Hence, the difference between his percentage of votes x and 0.52 should be at most plus/minus 0.05, that is:

$|x - 0.52| \leq 0.05$

Hence, option b is correct.

You can learn more about absolute value inequality at https://brainly.com/question/24005819