## anonymous 3 years ago hoose the correct description of the graph of the compound inequality x - 1 < or = to 9 or 2x > or = to 24 A number line with an open circle on 10, shading to the left, and an open circle on 12, shading to the right. A number line with an open circle on 10, an open circle on 12, and shading in between. A number line with a closed circle on 10, a closed circle on 12, and shading in between. A number line with a closed circle on 10, shading to the left, and a closed circle on 12, shading to the right

1. anonymous

@dmezzullo sorry for taggiin you soo much..i know you must hate me right now ):

2. dmezzullo

Its ok idk this one

3. anonymous

poo

4. anonymous

$x-1\leq 9\iff x\leq 10$

5. anonymous

huh????????????

6. anonymous

$2x\geq 24\iff x\geq 12$

7. anonymous

im confsed!!

8. anonymous

before you can answer the question, you have to solve each inequality for $$x$$ that is the first step

9. anonymous

the first inequality is $$x-1\leq 9$$ to solve this for $$x$$ add 1 to both sides, which gives you $x\leq 10$

10. anonymous

to solve $$2x\geq 24$$ divide both sides by 2 and get $$x\geq 12$$

11. anonymous

this tells you $$x\leq 10$$ OR $$x\geq 12$$

12. anonymous

|dw:1364999820534:dw|

13. anonymous

both circles are closed because you have $$\leq$$ and $$\geq$$ instead of $$<$$ and $$>$$