2002
Mathematics
67ca00ce0c643c71d77dee1f
Find the range of values of x for which (x+2)/4−2x−3/3 < 4
A.
x > -6
B.
x > -3
C.
x < 8
D.
x < 4
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 − 5 x< 48 ⟹ −5 x < 48 − 18 −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 − 5 x< 48 ⟹ −5 x < 48 − 18 −5x < 30 ⟹ x > −6THIS WEEK's
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