2018
Mathematics
67ca00ce0c643c71d77dee1f
Find the values of x for which (x+2)/4 - (2x−3)/3 < 4
A.
x < 8
B.
x > -6
C.
x < 4
D.
x > -3
Correct Answer: x > -6
Explanation
(x+2)/4 - (2x−3)/3 < 4 (3(x+2)−4(2x−3))/12 < 4 3x + 6 − 8x + 12 < 48 18 − 5x < 48 ⟹ −5x < 30 ∴ x > − 6
(x+2)/4 - (2x−3)/3 < 4 (3(x+2)−4(2x−3))/12 < 4 3x + 6 − 8x + 12 < 48 18 − 5x < 48 ⟹ −5x < 30 ∴ x > − 6THIS WEEK's
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