Solve $\frac { | a + 8 | } { 2 } \geq 20$ , if possible. Write the answer in set notation.
A) $\{ a \mid a \leq - 48 \text { or } a \geq 32 \}$
B) $\{ a \mid a \leq - 96 \text { or } a \geq 64 \}$
C) $\{ a \mid - 48 \leq a \leq 32 \}$
D) $\{ a \mid - 96 \leq a \leq 64 \}$
E)no solution

Question

Quizplus · Accepted Answer

To solve $\frac { | a + 8 | } { 2 } \geq 20$, multiply both sides by 2 to get $| a + 8 | \geq 40$. This inequality means $a + 8 \geq 40$ or $a + 8 \leq -40$. Solving these gives $a \geq 32$ or $a \leq -48$, which matches option A.

Solve ∣a+8∣2≥20\frac { | a + 8 | } { 2 } \geq 202∣a+8∣​≥20

Solve $\frac { | a + 8 | } { 2 } \geq 20$