Question

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

Answer 1

`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◯-------------------------"`