Question 557135: Solve using the multiplication principle
-6x>1/13
Answer by heilok(4)   (Show Source):
You can put this solution on YOUR website! Hi,
Solving this inequality, you need to be very careful about the operation of the inequality signs > and <.
When both sides of the inequality need to be multiplied or divided by a NEGATIVE number, the sign needs to be switched, i.e. changing < to > and vice versa.
For the inequality you asked, -6x>1/13, you need to divide -6x by -6 to obtain x. Therefore,right hand side also needs to be divided by -6, which is (1/13)/-6=1/-78.
However, as previously said, when both sides are divided by a negative number (-6), the inequality sign needs to be switched. The following is the layout of the solution:
-6x>1/13
(-6x)/-6<(1/13)/-6 //inequality sign is switched
x< -(1/78)
Ans: x<-(1/78)
Hopes this helps ;)
Cheers,
Heil
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