If x belongs to set of integers, A is the solution set of 2(x-1) < 3x-1 and B is the
solution set of 4x-3 <8+x, find A
intersect B
a) {0,2,4)
b) {1,2,3}
c) {0,1,2)
d) {0, 1,2,3}
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If x belongs to set of integers, A is the solution set of 2(x−1)<3x−1 and B is the solution set of 4x−3≤8+x, find A∩B.
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ANSWER
2(x−1)<3x−1
⇒2x−2<3x−1
⇒2x−3x<−1+2
⇒−x<1
⇒x>−1
4x−3≤8+x
4x−3−x+3≤8+x−x+3
⇒4x−x≤8+3
⇒3x≤11
x≤
3
11
⇒x≤3.67
Then −1<x≤3.67
Then, A∩B is {0,1,2,3}
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