Write an absolute value inequality equivalent to the expression.
-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.
A) $| x - 52 | \geq 0.05$
B) $| x - 0.05 | \geq 52$
C) $| x - 0.05 | \leq 52$
D) $| x - 52 | \leq 0.05$

Question

Write an absolute value inequality equivalent to the expression.
-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. 
A) $| x - 52 | \geq 0.05$
B) $| x - 0.05 | \geq 52$
C) $| x - 0.05 | \leq 52$
D) $| x - 52 | \leq 0.05$

Quizplus · Accepted Answer

The absolute value inequality $| x - 52 | \leq 0.05$ represents that the true percentage of votes, $x$, is within 5% of 52%, accounting for the margin of error.

Write an Absolute Value Inequality Equivalent to the Expression ∣x−52∣≥0.05| x - 52 | \geq 0.05∣x−52∣≥0.05

Write an Absolute Value Inequality Equivalent to the Expression $| x - 52 | \geq 0.05$