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

2 Answers
May 2, 2018

Answer:

#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

Answer:

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#