How do you solve and graph the compound inequality $- 2 < - 3 x + 7 < 4$ $-2 < -3x + 7 < 4$ ?

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Answer 1 · 2015-05-13T05:15:01

(1) $- 2 < - 3 x + 7 \to 3 x < 9 \to x < 3$ $-2 < -3x + 7 -> 3x < 9 -> x < 3$

(2) $- 3 x + 7 < 4 \to 3 x > 7 - 4 = 3 \to x > 1$ $-3x + 7 < 4 -> 3x > 7 - 4 = 3 -> x > 1$

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How do you solve and graph the compound inequality −2<−3x+7<4-2 < -3x + 7 < 4 ?