SOLUTION: Given: −3(a–b)>0, which is greater: a or b? Give the numerical examples. Can you show step by step examples? I would like to know how to solve this problem.

Algebra ->  Inequalities -> SOLUTION: Given: −3(a–b)>0, which is greater: a or b? Give the numerical examples. Can you show step by step examples? I would like to know how to solve this problem.      Log On


   

Question 1016963: Given: −3(a–b)>0, which is greater: a or b? Give the numerical examples.
Can you show step by step examples? I would like to know how to solve this problem.
Found 2 solutions by stanbon, macston:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
−3(a–b)>0, which is greater: a or b? Give the numerical examples.
Can you show step by step examples? I would like to know how to solve this problem.
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Divide both sides by -3 to get:
a-b < 0
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Add b to both sides to get:
a < b
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Ans: b is greater than a
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Example::
-3(a-b) > 0
Let b be greater than a::
Let b = 7 ; Let a = 3
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-3(3-7) > 0
-3(-7) > 0
21 > 0
QED
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Cheers,
Stan H.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve inequalities (almost) just like equations:
.
-3(a-b) > 0 . Divide each side by -3 (reverse inequality sign)
a-b < 0 . Add b to each side.
a < b
.
NOTE: Remember to reverse inequality sign when multiplying
or dividing inequalities by a negative number.
(This is the "almost" just like equations part.)
.
Let a=1; b=2:
.
-3(a-b) > 0
-3(1-2) > 0
-3(-1) > 0
3 > 0