2006
Mathematics
67ca00ce0c643c71d77dee1f
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 > -7THIS WEEK's
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