passpadi

2006

Mathematics

JAMB

Solve the inequalities for which (x + 4)/(3) - (x -3)/(2) < 4

A.

x < 7

B.

x > -7

C.

x < -7

D.

x > 7

Correct Answer: x > -7

Explanation

(x+4)/3-(x-3)/2<4 ((2(x+4))-(3(x-3)))/6<4 2(x+4) – 3(x-3) < 4 x 6 2x + 8 – 3x+9 < 24 -x + 17 < 24 -x < 24 – 17 -x < 7 X > -7 2(x+4) – 3(x-3) < 4 x 6 2x + 8 – 3x+9 < 24 -x + 17 < 24 -x < 24 – 17 -x < 7 X > -7

(x+4)/3-(x-3)/2<4 ((2(x+4))-(3(x-3)))/6<4 2(x+4) – 3(x-3) < 4 x 6 2x + 8 – 3x+9 < 24 -x + 17 < 24 -x < 24 – 17 -x < 7 X > -7 2(x+4) – 3(x-3) < 4 x 6 2x + 8 – 3x+9 < 24 -x + 17 < 24 -x < 24 – 17 -x < 7 X > -7
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