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Question
If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:
P ∩ Q'
Solution
P = {x : 7x - 2 > 4x + 1, x ∈ R}
7x - 2 > 4x + 1
7X - 4X >1 + 2
3x > 3
X>1
p = {2,3, 4, 5. ···········}
and
Q = {x : 9x - 45 ≥ 5 (x -5) ,x ∈ R}
9x - 45 ≥ 5x - 25
9x - 5x ≥ -25 + 45
4x ≥ 20
x ≥ 5
Q = {5, 6, 7, 8, 9, ............ }
P ∩ Q' = {6, 7, 8, 9, ........... }
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