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

2 Answers

12 votes

Solution:

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.

User MattMatt
by
8.3k points
8 votes

Answer:

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

User Turid
by
8.6k points

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