Question
Select the solution set of −1<2x+3≤10 from given options
Answer: Option A
:
A
−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
Was this answer helpful ?
:
A
−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
Was this answer helpful ?
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