Provide an appropriate response.
-Give the number of solutions for $|a x+b|>k$ if $k<0$ .

Question

Provide an appropriate response.
-Give the number of solutions for $|a x+b|>k$ if $k<0$.
A) 1
B) 0
C) 2
D) An infinite number

Quizplus · Accepted Answer

The inequality $|ax+b|>k$ where $k<0$ is always true regardless of the values of $a$ and $b$, because the absolute value $|ax+b|$ is always non-negative, and thus always greater than any negative number $k$. This means the inequality has solutions for all real numbers $x$, implying an infinite number of solutions.

Provide an Appropriate Response ∣ax+b∣>k|a x+b|>k∣ax+b∣>k If k<0k<0k<0 A) 1 B) 0 C) 2 D) an Infinite

Provide an Appropriate Response $|a x+b|>k$ If $k<0$
A) 1
B) 0
C) 2
D) an Infinite