How do you solve the inequality -4<x/4 - 6?

2 Answers
May 2, 2018

x>8

Explanation:

"isolate "x/4" by adding 6 to both sides"

rArr2 < x/4

"multiply both sides by 4"

rArr8 < x" or "x>8

May 2, 2018

Remember to reverse the inequality IFF you multiply (or divide) by a negative number. Isolate the x term on either side of the inequality, just as if it were an equal sign.

Explanation:

Add 6 to both sides of the inequality, then multiply by 4.

-4 < x/4 - 6,
-4 + 6 < x/4 - 6 + 6,
2 < x/4,
2 * 4 < (x/4) * 4,
8 < x