Question

Solve -1 < 3 - 2x ≤ 7, x € R. *



A) { x : -4 ≤ x < 2 , x € R}

B) {x : 2 < x < 4, x € R }

C) { x : -2 ≤ x < 2 , x € R }

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Answer 1

Answer:

C) { x : -2 ≤ x < 2, x€R }

Step-by-step explanation:

-1 < 3 - 2x ≤ 7, x€R

→ -1 < 3 - 2x ≤ 7

-1 < 3 - 2x and 3 - 2x ≤ 7

2x < 3 + 1 and -2x ≤ 7 - 3

2x < 4 and -2x ≤ 4

x < 2 and -x ≤ 2

Solution set = { x : -2 ≤ x < 2}

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-3 -2 -1 0 1 2 3