Provide an appropriate response. -Determine which of the following is used to solve the inequality $|a x+b|c$, for $c0$. A) $a x+bc$ or $a x+b\mathrm{c}$ or $\mathrm{ax}+\mathrm{b}-\mathrm{c}$ C) $a x+b-c$ D) $a x+bc$ and $a x+b

Question

Provide an appropriate response. -Determine which of the following is used to solve the inequality $|a x+b|>c$, for $c>0$. A) $a x+b>c$ or $a x+b<-c$ B) $\mathrm{ax}+\mathrm{b}>\mathrm{c}$ or $\mathrm{ax}+\mathrm{b}>-\mathrm{c}$ C) $a x+b<$ c and $a x+b>-c$ D) $a x+b>c$ and $a x+b<-c$

Quizplus · Accepted Answer

The correct way to solve the inequality $|ax+b|>c$ is to split it into two separate inequalities: $ax+b>c$ or $ax+b<-c$, because the absolute value being greater than $c$ means the expression inside the absolute value must be either greater than $c$ or less than $-c$.

Provide an Appropriate Response ∣ax+b∣>c|a x+b|>c∣ax+b∣>c , For c>0c>0c>0 A) ax+b>ca x+b>cax+b>c

Provide an Appropriate Response $|a x+b|>c$ , For $c>0$
A) $a x+b>c$