How do you solve j/4 - 8 < 4?

1 Answer
Mar 22, 2018

j<48

You must isolate j algebraically.

Explanation:

j/4-8<4

Your first step in solving this inequality is to add 8 to both sides.

j/4<12

Now multiply both sides by 4 to get rid of the denominator.

color(blue)(j<48)

So for any number, j, that is less than 48, the inequality is true.
You can check this by plugging in values.

j=52, then 52/4-8<4

=> 13-8<4

=> 5<4

This is not true, strengthening the statement. Feel free to plug in other values.