SOLUTION: -4m >= -4

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Question 1049270: -4m >= -4
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
-4m%3E=-4
0%3E=4m-4
0%3E=4%28m-1%29 and notice that factor 4 is a positive value itself;
0%281%2F4%29%3E=4%28m-1%29%281%2F4%29
0%3E=4%281%2F4%29%28m-1%29
0%3E=1%28m-1%29
0%3E=m-1
1%3E=m
highlight%28m%3C=1%29

The larger number of steps were just to make everything extremely clear. Observe that all terms were arranged onto one side of the inequality and zero on the other side of the inequality. I also used Symmetric Property, keeping the same number order.

What you may USUALLY want to do with such inequalities is this way:
-4m%3E=-4
-4m%28-1%2F4%29%3C=-4%28-1%2F4%29
4%281%2F4%29m%3C=4%2F4
highlight%28m%3C=1%29
and SEE the way the order relation symbol is switched direction upon multiplication by a negative value! That's what to know when multiplying both sides of inequality by a negative value.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
-4m >= -4
~~~~~~~~~~~~~~~

To solve this inequality, divide both sides by (-4) and,
since you are dividing by the negative number, change the inequality sign to the opposite.

You will get
m <= 1.

Answer. m <= 1.


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