Respuesta :

Answer:

x > -4

Interval notation is (-4,∞)

Step-by-step explanation:

[tex]\frac{-1}{2} x>2[/tex]

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

[tex]2*\frac{-1}{2} x>2*2[/tex]

-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:

[tex]x<-4[/tex]

Step-by-step explanation:

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

[tex] - \frac { 1 } { 2 } x > 2 [/tex]

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.

[tex]x>2(-2)[/tex]

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

[tex]x<-4[/tex]