Question

How do you solve and graph `2x+9<16`?

Answer 1

First we will solve for `x` by making `x` the subject of the equation:
`2x + 9 - 9 < 16 -9`
`2x < 7`
`x < 7/2`
`x<3.5`

The graph will be a dashed line with the equation `x=3.5`. So you find `3.5` on the `x`-axis, halfway between `3` and `4`, then draw a verticle dashed line. As `x` is less than `3.5`, you shade in the graph on the left hand side, the side that has `0` ajd negative numbers.

Answer 2

Graphical representation

Explanation:

A graphical approach: