Question

How do you solve and graph the compound inequality `4x-11<=-6` or `x-3>=1`?

Answer 1

`x <= 5/4`
`x >= 4`

Explanation:

(1) --> `4x - 11 <= - 6` --> `4x <= 5`
`x <= 5/4`
(2) -->`x - 3 >= 1` --> `x >= 4`

Graph on the number line:

++++++++++++++ 0 ++++ 5/4ooooooooooo4 +++++++++++++

Note. The 2 end points (5/4) and (4) are included in the solution set. They are drawn on the number line by 2 little circles.