Question:
Solve the inequalities 2 (x - 1) < x + 5, 3 (x + 2) > 2 - x
Answer:
Given inequality is:
2(x-1) < x+5
=> 2x - 2 < x+5
=> 2x-x < 5+2
=> x < 7
Again given inequality is:
3(x+2) > 2-x
=> 3x + 6 > 2-x
=> 3x-x > 2-6
=> 2x > -4
=> x > -4/2
=> x > -2
So value of x lies between (7,-2)
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