Find the solution set for the inequality. -$| r - 4 | 3$ A) $\{ \mathrm { r } \mid \mathrm { r } 7 \}$ B) $\{ \mathrm { r } \mid \mathrm { r } - 1 \}$ C) $\{ \mathrm { r } \mid 1

Question

Find the solution set for the inequality. -$| r - 4 | > 3$ A) $\{ \mathrm { r } \mid \mathrm { r } < 1 \text { or } \mathrm { r } > 7 \}$ B) $\{ \mathrm { r } \mid \mathrm { r } < - 7 \text { or } \mathrm { r } > - 1 \}$ C) $\{ \mathrm { r } \mid 1 < \mathrm { r } < 7 \}$ D) $\{ \mathrm { r } \mid - 7 < \mathrm { r } < - 1 \}$

Quizplus · Accepted Answer

The inequality $| r - 4 | > 3$ splits into two cases: $r - 4 > 3$ and $r - 4 < -3$. Solving these gives $r > 7$ and $r < 1$, respectively, which matches option A.

Find the Solution Set for the Inequality ∣r−4∣>3| r - 4 | > 3∣r−4∣>3

Find the Solution Set for the Inequality $| r - 4 | > 3$