SOLUTION: -3 < w/-2 + 10 + w/4 Can you please show me how to solve this problem? I get confused as to whether you need to multiply the left side by -2 (to balance out the w/-2) and 4 (to

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Question 1011163: -3 < w/-2 + 10 + w/4
Can you please show me how to solve this problem? I get confused as to whether you need to multiply the left side by -2 (to balance out the w/-2) and 4 (to balance out the w/4).
So, does it end up -3 - 10 < w/-2 + + 10 - 10 + w/4
-13 < w/-2 + w/4 ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39749) (Show Source):
You can put this solution on YOUR website!
-3 < w/-2 + 10 + w/4, maybe is not what you want to show. Only you know what you really have. Taken exactly as written here, more clearly is .

A possible sequence of steps could be these:

Lowest common denominator is .

, skipped a step, but you could fill-in the step.
Also notice the switch in direction of the order symbol was needed and done!

Final result:

Answer by MathTherapy(10754) (Show Source):
You can put this solution on YOUR website!

-3 < w/-2 + 10 + w/4 Can you please show me how to solve this problem? I get confused as to whether you need to multiply the left side by -2 (to balance out the w/-2) and 4 (to balance out the w/4). So, does it end up -3 - 10 < w/-2 + + 10 - 10 + w/4 -13 < w/-2 + w/4 ? ================== -3 < w/-2 + 10 + w/4 - 13 ---- Subtracting 10 from both sides 52 2w - w ----- Multiplying by LCD, - 4 52 w, or w 52 So, YES, you will have -3 - 10 < w/-2 + 10 - 10 + w/4 =====> -13 < w/-2 + w/4 (see above), but that's NOT what you'll end up with. You have to solve the INEQUALITY, ALL the way, for w!