# How do you solve #m/4+2<3# and graph the solution?

##### 1 Answer

Dec 20, 2016

#### Explanation:

The first thing to do is ' eliminate' the fraction by multiplying ALL terms on both sides of the inequality by 4

#cancel(4)^1xxm/cancel(4)^1+(4xx2)<(4xx3)#

#rArrm+8<12larr" no fraction"# subtract 8 from both sides.

#mcancel(+8)cancel(-8)<12-8#

#rArrm<4" is the solution"# The solution can be shown on a number line, by placing an

#color(blue)"open circle"# ◯ at 4 to indicate that x ≠ 4 with an 'arrow head' on a line going to the left from 4.