Question

How do you solve `m/4<2` or `-3+m>7`?

Answer 1

See a solution process below:

Explanation:

Solve each inequality for `m`:

Inequality 1:

`m/4 < 2`

`color(red)(4) xx m/4 < color(red)(4) xx 2`

`cancel(color(red)(4)) xx m/color(red)(cancel(color(black)(4))) < 8`

`m < 8`

Inequality 2:

`-3 + m > 7`

`-3 + color(red)(3) + m > 7 + color(red)(3)`

`0 + m > 10`

`m > 10`

The Solution Is:

`m < 8`; `m > 10`

Or, in interval notation:

`(-oo, 8)`; `(10, +oo)`

Answer 2

`m<8` or `m>10`

Explanation:

For the first inequality

`m/4<2`, let's multiply both sides by `4` to get

`m<8`

For our second inequality, we can add `3` to both sides to get

`m>10`

Therefore, the solution to these inequalities is

`m<8` or `m>10`

Hope this helps!