Find the solution set for the inequality. -$| r + 6 |

Question

Find the solution set for the inequality. -$| r + 6 | < 5$ A) $\{ \mathrm { r } \mid 1 < \mathrm { r } < 11 \}$ B) $\{ \mathrm { r } \mid - 11 < \mathrm { r } < - 1 \}$ C) $\{ \mathrm { r } \mid \mathrm { r } < - 11 \text { or } \mathrm { r } > - 1 \}$ D) $\{ \mathrm { r } \mid \mathrm { r } < 1 \text { or } \mathrm { r } > 11 \}$

Quizplus · Accepted Answer

To solve $| r + 6 | < 5$, we split it into two cases: $r + 6 < 5$ and $r + 6 > -5$. Solving these gives $r < -1$ and $r > -11$, respectively, which means $r$ must be between $-11$ and $-1$, inclusive of neither, hence the solution set is $\{ \mathrm { r } \mid - 11 < \mathrm { r } < - 1 \}$.

Find the Solution Set for the Inequality ∣r+6∣<5| r + 6 | < 5∣r+6∣<5

Find the Solution Set for the Inequality $| r + 6 | < 5$