Question

Solve for x. Show your work.
-1/2x <-12

Answer 1

`24`

Explanation:

Multiply both sides of the inequality by -2 qnd flip the inequality sign:

`- 2 * ( - (1)/(2) )x > - 2x( - 12)`

Multiply an even number of negative terms make the product positive:

`2 * (1)/(2) x > -2 * ( - 12)`

Reduce the number with the greatest common factor 2:

`x > - 2 * ( - 12)`

Multiply two negatives equal a positive: ( - ) × ( - ) = ( + ).

Multiply the number:

`x > 2 * 12`

`= 24`

Answer 2

`x>24`

Explanation:

First, let's re-write it multiplied by -2 on each side, the denominator will disappear and we'll have our x positive:

`x>24`

Remember: if you multiply a inequality for a negative number, change the sign to its opposite, for example the < become the >