Question

Solve this inequality j/4 - 8 < 4

Answer 1

J/4 - 8 < 4
    + 8   + 8     *add 8 to both sides to cancel -8.
j/4      < 12
*4/1       *4/1      *multiply 4/1 to both sides to cancel 1/4
j         < 48

j should be less than 48 to make the inequality true.

example: j = 47
j/4       - 8 < 4
47/4   - 8 < 4
11.75 - 8 < 4
       3.75 < 4  

Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.