Question

Solve the inequality -1/2x>2 and write the solution using:

Answer 1

Answer:

x > -4

Interval notation is (-4,∞)

Step-by-step explanation:

$\frac{-1}{2} x>2$

We need to get x alone

To get x alone , we need to remove -1/2 from left hand side

To remove denominator 2 we multiply both sides by 2

$2*\frac{-1}{2} x>2*2$

-1x> 4

To remove -1 , divide both side by -1

When we divide or multiply by negative then reverse the inequality symbol

x > -4

Interval notation is (-4,∞)

Answer 2

Answer:

$x$

Step-by-step explanation:

We are given the following inequality and we are to solve it for x:

$- \frac { 1 } { 2 } x > 2$

To solve this, we will multiply the denominator -2 with the other side of the inequality to separate the variable x and make it the subject.

$x>2(-2)$

Also, since the negative sign is multiplied so the inequality sign will be reversed to '<'.

$x$