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.