2010
Mathematics
67ca00ce0c643c71d77dee1f
For what range of values of x is 1/2x + 1/4 > 1/3x + 1/2?
A.
x < 3/2
B.
x > 3/2
C.
x < -3/2
D.
x > -3/2
Correct Answer: x > 3/2
Explanation
1/2x + 1/4 > 1/3x + 1/2 Multiply through by through by the LCM of 2, 3 and 4 12 x 1/2x + 12 x 1/4 > 12 x 1/3x + 12 x 1/2 6x + 3 > 4x + 6 6x - 4x > 6 - 3 2x > 3 2x/2 > 3/2 x > 3/2
1/2x + 1/4 > 1/3x + 1/2 Multiply through by through by the LCM of 2, 3 and 4 12 x 1/2x + 12 x 1/4 > 12 x 1/3x + 12 x 1/2 6x + 3 > 4x + 6 6x - 4x > 6 - 3 2x > 3 2x/2 > 3/2 x > 3/2THIS WEEK's
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