Question

Solving Inequalities Independent Practice
-⅓x - 6 < -3

Answer 1

Solution: x>-9

In interval form: (-9,∞)

Explanation:

Inequalities

Solve the inequality:

`\displaystyle -(1)/(3)\ x-6<-3`

Add 6:

`\displaystyle -(1)/(3)\ x<-3+6`

`\displaystyle -(1)/(3)\ x<3`

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

`\displaystyle x>-9`

Solution: x > -9

In interval form: (-9,∞)