Question

How do you solve `3p +5 <= 23`?

Answer 1

See the entire solution process below:

Explanation:

First, subtract `color(red)(5)` from each side of the inequality to isolate the `p` term while keeping the inequality balanced:

`3p + 5 - color(red)(5) <= 23 - color(red)(5)`

`3p + 0 <= 18`

`3p <= 18`

Now, divide each side of the inequality by `color(red)(3)` to solve for `p` while keeping the inequality balanced:

`(3p)/color(red)(3) <= 18/color(red)(3)`

`(color(red)(cancel(color(black)(3)))p)/cancel(color(red)(3)) <= 6`

`p <= 6`