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Answer:
P∩Q = x ≥ 4
P∩Q' = 1 < x < 4
Step-by-step explanation:
in the first equation, 7x-4x > 2+1
or, 3x > 3
or, x > 1
in the second equation, 9x-45 ≥ 5(x-5)
or, 9x - 45 ≥ 5x-25
or, 9x-4x ≥ 45-25
or, 5x ≥ 20
or, x ≥ 4
Hence, P → x > 1 ; x∈R
Q → x ≥ 4 ; x∈R
∴P∩Q = x ≥ 4 ; x∈R
∴P∩Q' = 1 < x < 4 ; x∈R
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