Question

How do you solve and graph `4x + 3 < 5x`?

Answer 1

`x > 3`

Explanation:

First, isolate the `x` terms on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:

`4x + 3 - color(red)(4x) < 5x - color(red)(4x)`

`4x - color(red)(4x) + 3 < (5 - 4)x`

`0 + 3 < 1x`

`3 < x`

To solve in terms of `x` we must reverse or "flip" the inequality:

`x > 3`