Question

What are equivalent inequalities?

Short answer

Equivalent Inequalities are inequalities that communicate the same information.

Step-by-step solution

Step- 1- Definition of equivalent inequalities

Equivalent Inequalities are inequalities that communicate the same information.

There are a few different ways to produce equivalent inequalities.

Step- 2- Taking an example to understand equivalent inequalities

First, an equality is equivalent to its mirror image. Let’s see what that looks like:

$x>4;4<x$

Notice that one equality is essentially a backwards version of the other. The pointy part of the inequality sign is always pointing towards the $4$. When this is the case, the inequalities are equivalent.