Respuesta :

Answer:

f < 1

Step-by-step explanation:

8(3f−6)<−24

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

3f−6< [tex]\frac{-24}{8}[/tex]

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.

[tex]f<\frac{3}{3}[/tex]

Divide 3 by 3 to get 1.

f < 1

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.