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]