SOLUTION: X/3 + 1/6 (less than or equal to) 2x + 3/2

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Question 39876: X/3 + 1/6 (less than or equal to) 2x + 3/2
Found 2 solutions by stanbon, fractalier:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
X/3 + 1/6 <= 2x + 3/2
Multiply through by 6 to get:
2x+1<=12x+9
10x>=-8
x>=-4/5
Cheers,
stan H.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let us clear all of the fractions in
x/3 + 1/6 ≤ 2x + 3/2
by multiplying by the lowest common denominator, which is 6...we get
6[x/3 + 1/6 ≤ 2x + 3/2]
2x + 1 ≤ 12x + 9
-8 ≤ 10x
-4/5 ≤ x or
x ≥ -4/5