Answer:
[tex]j \: < \: 48[/tex]
Step-by-step explanation:
We want to solve the inequality
[tex] \frac{1}{4}j - 8 \: < \: 4[/tex]
We add 8 to both sides to get:
[tex] \frac{1}{4}j \: < \: 4 + 8[/tex]
[tex] \frac{1}{4} j \: < \: 12[/tex]
Multiply both sides by 4 to get:
[tex]j \: < \: 12 \times 4[/tex]
[tex]j \: < \: 48[/tex]