4
ALMultiple Choice

Graphs of Nonlinear Inequalities

Question 4 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

The solution set x ≤ 2 or x ≥ 4 is consistent with an equation of the form

Answer
A
|ax + b| ≤c, where c is greater than zero.
B
|ax + b| ≥ c, where c is greater than zero.
C
|ax + b| = c, where c is less than zero.
D
|−ax + b| ≤ c, where c is less than zero.

Explanation

The solution includes values outside the interval from 2 to 4, so it has the form of an absolute value being greater than or equal to a positive number. For example, |x − 3| ≥ 1 gives x ≤ 2 or x ≥ 4. Thus the matching form is |ax + b| ≥ c, where c is greater than zero.

AI-written and checked against the verified answer.