Question

8(3f-6)<-24 solve each inequality.

Answer 1

Note that:

• Given inequality: 8(3f - 6) < -24

Simplify the inequality to obtain the inequality for f.

• 8(3f - 6) < -24
• => (24f - 48) < -24
• => 24f - 48 < -24
• => 24f < -24 + 48
• => 24f < 24
• => f < 1

The simplified inequality is f < 1.

Answer 2

f < 1

Explanation:

8(3f−6)<−24

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

3f−6<
`(-24)/(8)`

Divide −24 by 8 to get −3.

3f−6<−3

Add 6 to both sides.

3f<−3+6

Add −3 and 6 to get 3.

3f<3

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

`f<(3)/(3)`

Divide 3 by 3 to get 1.

f < 1