Respuesta :

Answer:

Solution: x>-9

In interval form: (-9,∞)

Step-by-step explanation:

Inequalities

Solve the inequality:

[tex]\displaystyle -\frac{1}{3}\ x-6<-3[/tex]

Add 6:

[tex]\displaystyle -\frac{1}{3}\ x<-3+6[/tex]

[tex]\displaystyle -\frac{1}{3}\ x<3[/tex]

Multiply by -3. Recall the inequality sign must be changed:

[tex]\displaystyle x>-9[/tex]

Solution: x > -9

In interval form: (-9,∞)