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

Jun 25, 2018

Take $x - 1 \le q 9$

$x \le q 10$

Now look at $2 x \ge q 24$

divide by2

$x \ge q 12$

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 $x$.