Question

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

Answer 1

Answer:

$x>24$

Step-by-step 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 >

Answer 2

Answer:

$24$

Step-by-step explanation:

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

$- 2 \times ( - \frac{1}{2} )x > - 2x( - 12)$

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

$2 \times \frac{1}{2} x > -2 \times ( - 12)$

Reduce the number with the greatest common factor 2:

$x > - 2 \times ( - 12)$

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

Multiply the number:

$x > 2 \times 12$

$= 24$