Question

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

Answer 1

`x<-4`

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<-4`

Answer 2

x > -4

Interval notation is (-4,∞)

Explanation:

`(-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*(-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,∞)