Chapter 1.1, Problem 6QR

To determine

To find: the solution of the given inequality.

Answer to Problem 6QR

  $-c^2<x<c^2$

Explanation of Solution

Given information:

The given inequality is $\left|x\right|<c^2$_.

Formula used:

Solution of the given inequality $\left|x\right|<a$ _is

  $-a<x<a$

Calculation:

Write the given inequality.

  $\left|x\right|<c^2$

Compare the inequality with $\left|x\right|<a$

  $a=c^2,0<c$

Hence, solution of the given inequality is $-c^2<x<c^2$ .