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2014
Mathematics
JAMB
Evaluate the inequality x/2+3/4≤ 5x/6 − 7/12
A.
x≥4
B.
x≤3
C.
x≥−3
D.
x≤−4
Correct Answer:
x≥4
Explanation
x/2 + 3/4 ≤ 5x/6 −7/12 12(x/2) + 12(3/4) ≤ 12(5x/6) −12(7/12) 6x + 9 ≤ 10x - 7 6x - 10x ≤ - 7 - 9 -4x ≤ -16 -4x/-4 ≥ -16/-4 x ≥ 4
x/2 + 3/4 ≤ 5x/6 −7/12 12(x/2) + 12(3/4) ≤ 12(5x/6) −12(7/12) 6x + 9 ≤ 10x - 7 6x - 10x ≤ - 7 - 9 -4x ≤ -16 -4x/-4 ≥ -16/-4 x ≥ 4
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