Question

Solve the inequality - 6 x > 42

what happens to the inequality sign when you divide by a negative number

Answer 1

x < -7

Explanation:

-6x > 42

First you want to divide off -6 to isolate x

`(-6x)/(-6)` =
`(42)/(-6)`

keeping in mind what you do to one side of the equation you have to do to the other side.

Whenever you divide with a negative number the inequality sign flips from < to > and vice versa.

after you divide off the -6 your left with x <
`(42)/(-6)` which equals -7.

Hope this helps.

Answer 2

the inequality sign changes when dividing by a negative number