Question

Solve each inequality. (a) $x^2 - 4 < 0$ (b) $x^2 - 4 > 0$

Name: solve each inequality a x2 4 0 b x2 4 0 24716
Uploaded: 2020-07-20T18:36:46-08:00
Duration: 1 min 20 s
Channel: Ankit Gupta
Description: solve each inequality a x2 4 0 b x2 4 0 24716

          Solve each inequality.
(a) $x^2 - 4 < 0$
(b) $x^2 - 4 > 0$

Added by Crystal R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/20/2020

Step 1

We test the intervals $(-\infty, -2)$, $(-2, 2)$, and $(2, \infty)$. For $x < -2$, let $x = -3$. Then $(-3 - 2)(-3 + 2) = (-5)(-1) = 5 > 0$. For $-2 < x < 2$, let $x = 0$. Then $(0 - 2)(0 + 2) = (-2)(2) = -4 < 0$. For $x > 2$, let $x = 3$. Then $(3 - 2)(3 + 2) = Show more…

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