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Question

# Select the solution set of −1<2x+3≤10 from given options

A

{1,2,3}

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B

{1,2,3,4}

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C

{2,3,4}

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D

{2,3,4,5}

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Solution

## The correct option is A {1,2,3} −1<2x+3≤10 Subtract 3 from each sides −1−3<2x+3−3≤10−3 −4<2x≤7 Divide by 2 each side −42<2x2≤72 −2<x≤3.5 From here we can say that x will that all the value between -2 to 3.5 [including 3.5 because ≤ sign]. Now lets look at options A) {1,2,3} B) {1,2,3,4} → not possible because 4 is not in the range C) {2,3,4} → same reason D) {2,3,4,5} → Same reason

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