Question

How do you solve and graph `x-1<=9` or `2x>=24`?

Answer 1

Take `x-1leq9`

add 1

`xleq10`

Now look at `2xgeq24`

divide by2

`xgeq12`

On your graph paper draw a solid vertical line through `x=10` and another solid line through `x=12`.
The lines are solid because `x` can take the values 10 and 12. They would be dotted lines if it were `x<10`

To satisfy the two inequalities `x` can be any values EXCEPT the values between the two lines. i.e. `x` cannot be 10.5 or 11 etc

Either shade this region and state `x` cannot be in the shaded part. Or shade the two regions on the other side of the lines and state these are the values of `x`.