Question

How do you solve and write the following in interval notation: `4x -1> -25` or `3x -5 ≥ -2`?

Answer 1

`(-6 or [1`
the part on interval notation is at the bottom of the webpage

Explanation:

`4x-1 > -25` (given)
`4x-1+1 > -25+1`
`4x > -24`
`x > -6`

`3x-5 ≥ -2`
`3x-5+5 ≥ -2+5`
`3x ≥ 3`
`x ≥ 1`

For interval notations, [ or ] means greater/smaller than or equal to
( or ) means greater/smaller than

Hence, the two solutions can be written as:
`(-6`
`[1`