Question

How do you solve `3v + 5< 8`?

Answer 1

`v < 1`

Explanation:

Remember:

• you can add or subtract any amount to both sides of an inequality;
• you can multiply or divide both sides of an inequality by any amount greater than zero
  without effecting the validity or orientation of the inequality.

Therefore
`color(white)("XXX")3v+5 < 8`

subtracting `5` from both sides:
`color(white)("XXX")3v < 3`

dividing both sides by `3`
`color(white)("XXX")v < 1`

Answer 2

See the entire solution process below:

Explanation:

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

`3v + 5 - color(red)(5) < 8 - color(red)(5)`

`3v + 0 < 3`

`3v < 3`

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

`(3v)/color(red)(3) < 3/color(red)(3)`

`(color(red)(cancel(color(black)(3)))v)/cancel(color(red)(3)) < 1`

`v < 1`