SOLUTION: Please help me solve this equation: {{{ 37/(3z+6)<= 1/3- 2z/(z+2) }}} I am having trouble with multiplying the inequality by the LCD (least common denominator), which is 3z+6. I w

Algebra ->  Inequalities -> SOLUTION: Please help me solve this equation: {{{ 37/(3z+6)<= 1/3- 2z/(z+2) }}} I am having trouble with multiplying the inequality by the LCD (least common denominator), which is 3z+6. I w      Log On


   



Question 946858: Please help me solve this equation: +37%2F%283z%2B6%29%3C=+1%2F3-+2z%2F%28z%2B2%29+
I am having trouble with multiplying the inequality by the LCD (least common denominator), which is 3z+6. I wrote out the inequality like this:

The problem is I am not sure how to divide the denominators of the fractions into the least common denominator (3z+6). When I try to divide it, it turns into this:
+37+%3C=+3z%2B2-4z-6z+
The inequality above gives me an answer of +z+%3C=+-5+ but that is incorrect, so I'm confused. If you are able, could you please explain what I'm doing wrong?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
37/(3z+6)<= 1/3- 2z/(z+2)
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The LCD is 3(z+2)
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Multiplying thru by the LCD you get:
37 <= (z+2) - 6z
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37 <= -5z + 2
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5z <= 2-37
5z <= -35
z <= -7
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Cheers,
Stan H.
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