Question

What is the solution to the inequality below? x^2 < 49

Answer 1

−7<x<7

Explanation:

Let's find the critical points of the inequality:

x2=49

x=±√49(Take square root)

x=7 or x=−7

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−7(Doesn't work in original inequality)

−7<x<7(Works in original inequality)

x>7(Doesn't work in original inequality)

Hope this helped :)