Find the solution set for the inequality.
- $\left| \frac { 11 y + 22 } { 2 } \right| > 11$

Question

Find the solution set for the inequality. -$\left| \frac { 11 y + 22 } { 2 } \right| > 11$ A) $\{ y \mid - 4 < y < 0 \}$ B) $\{ y \mid - 4 < y < 4 \}$ C) $\{ y \mid y < - 4 \text { or } y > 0 \}$ D) $\{ y \mid y < 0 \text { or } y > 4 \}$

Quizplus · Accepted Answer

First, simplify the inequality: $\left| \frac { 11 y + 22 } { 2 } \right| > 11$ becomes $\left| 5.5y + 11 \right| > 11$. Solving the inequality for $y$ when the expression inside the absolute value is positive and negative gives two cases: $5.5y + 11 > 11$ and $5.5y + 11 < -11$. Solving these gives $y > 0$ and $y < -4$, respectively. Therefore, the solution set is $y < -4$ or $y > 0$.

Find the Solution Set for the Inequality ∣11y+222∣>11\left| \frac { 11 y + 22 } { 2 } \right| > 11​211y+22​​>11

Find the Solution Set for the Inequality $\left| \frac { 11 y + 22 } { 2 } \right| > 11$