Question

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

Answer 1

`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.

Answer 2

`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]}