How do you solve and graph #m-4<3#?

2 Answers
Jun 6, 2017

#m<7#

Explanation:

#m-4<3#
Add #4# to both sides.
#m<7#
When you graph inequalities, you generally graph them as an equality (in this case #m=7#) on a number line especially if you're variable is not x or y and then shade the side that satisfies your inequality (in this case, numbers smaller than #7#).

In this graph, I put #m# on the #x#-axis and graphed this inequality.

Jun 6, 2017

#m<7#

graph{x<7 [-10, 10, -5, 5]}

Explanation:

Add #4# to both sides of the inequality:

#m<7#

Since we didn't multiply or divide by a negative number that direction of the inequality remains unchanged.

graph{x<7 [-10, 10, -5, 5]}