To solve the above inequality we will try to isolate j by using the opposite operation of a number that we want to remove. So,
[tex] \frac{j}{4}-8<4 [/tex]
[tex] \frac{j}{4} -8+8<4+8 [/tex] Add 8 to each sides.
[tex] \frac{j}{4}<12 [/tex] By combining the like terms.
[tex] \frac{j}{4}*4<12*4 [/tex] Multiply each sides by 4 to isolate j.
j<48 By simplifying.
So, the answer is j<48.