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Question


Select the solution set of 1<2x+310 from given options


Options:
A .   {1,2,3}
B .   {1,2,3,4}
C .   {2,3,4}
D .   {2,3,4,5}
Answer: Option A
:
A

1<2x+310
Subtract 3 from each sides
13<2x+33103
4<2x7
Divide by 2 each side
42<2x272
2<x3.5
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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