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

1 Answer
Jim G.
Dec 20, 2016

#m<4#

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.

#"-------------------------------------⬅︎4◯-------------------------"#

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