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Question
If P = {x : 7x - 4 > 5x + 2, x ∈ R} and Q - {x : x - 19 ≥ 1 - 3x, x ∈ R}, represent the following solution set on different number lines:
P ∩ Q
Solution
P = {x : 7x - 4 > 5x + 2, x ∈ R}
7x- 4 > 5x+2
7x-5x > 2+ 4
2x > 6
X > 3
p = { 4, 5, 6, 7,.........}
and
Q - {x : x - 19 ≥ 1 - 3x, x ∈ R}
x - 19 ≥ 1 - 3x
x + 3x ≥ 1+19
4x ≥ 20
x ≥ s
Q = {5,6, 7, 8, 9 ........ }
P ∩ Q = {5, 6' 7, 8,........}
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