Solve the inequality and write the solution set in interval notation. 3

Name: Solve the inequality and write the solution set in interval notation. 3 < |x| - 2 A) (-$\infty$, -5) $\cup$ (5, $\infty$) B) (-$\infty$, -5) $\cap$ (5, $\infty$) C) (-5, 5) D) (5, $\infty$)
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Question

Solve the inequality and write the solution set in interval notation. 3 < |x| - 2
A) (-$\infty$, -5) $\cup$ (5, $\infty$)
B) (-$\infty$, -5) $\cap$ (5, $\infty$)
C) (-5, 5)
D) (5, $\infty$)

Quizplus · Accepted Answer

To solve the inequality $3 < |x| - 2$, add 2 to both sides to get $5 < |x|$. This means $x$ is greater than 5 or less than -5, leading to the solution set $(-∞, -5) \cup (5, ∞)$.

Solve the Inequality and Write the Solution Set in Interval ∞\infty∞

Solve the Inequality and Write the Solution Set in Interval $\infty$