The three-part inequality $a

Question

The three-part inequality $a< x \leq b$ means " $a$ is less than $x$ and $x$ is less than or equal to $b "$. Which of these inequalities is not satisfied by any real number $x$ ?

A) $-5< x \leq-11$
B) $-8< x \leq-7$
C) $0< x \leq 4$
D) $-2< x \leq 6$

Quizplus · Accepted Answer

For a three-part inequality $a< x \leq b$ to be satisfied by any real number $x$, $a$ must be less than $b$. In choice A, $-5$ is not less than $-11$, making it impossible for any real number $x$ to satisfy the inequality $-5< x \leq-11$.

The Three-Part Inequality a<x≤ba< x \leq ba<x≤b Means aaa Is Less Than

The Three-Part Inequality $a< x \leq b$ Means $a$ Is Less Than