Question

Solve the following inequality using the algebraic approach:
5x-1 < 2x + 11

Answer 1

`\boxed {x < 4}`

Explanation:

Solve the given inequality:

`5x - 1 < 2x + 11`

-Take
`2x` and subtract it from
`5x`:

`5x - 1 - 2x < 2x - 2x + 11`

`3x - 1 < 11`

-Add both sides by
`1`:

`3x - 1 + 1 < 11 + 1`

`3x < 12`

-Since
`3` is positive, then the inequality sign remains the same. So, divide both sides by
`3`:

`(3x)/(3) < (12)/(3)`

`\boxed {x < 4}` (final answer)