Question

Choose the correct description of the graph of the compound inequality

x - 1 less than or greater to 7 or 2x greater than or equal to 22


A ) A number line with an open circle on 8, an open circle on 11, and shading in between.

B ) A number line with an open circle on 8, shading to the left, and an open circle on 11, shading to the right.

C) A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

D) A number line with a closed circle on 8, a closed circle on 11, and shading in between.

Answer 1

What does less than or greater to mean? Is it supposed to be less than or equal to?

Answer 2

less than

Answer 3

What do you think it is?

Answer 4

idk. thats why im asking

Answer 5

But do you have a guess?
If its greater than or equal to that means the circle will be shaded

Answer 6

C and D are ruled out because the first part is just < so it wont be shaded, and would go to the left. The other is shaded and goes to the right.

Answer 7

So its B

Answer 8

x - 1 less than or greater to 7 or 2x greater than or equal to 22

\(\large x-1\le 7 \) or \(\large 2x \ge 22 \)

is this the problem you need to solve?

Answer 9

yes

Answer 10

so the wording on the first inequality is "less than or equal" not "less than or greater" (which does not make sense, btw...:) )

Answer 11

solving these two inequalities should give:
\(\large x\le 8 \) or \(\large x \ge 11 \)
since these two inequalities include 8 and 11 the graphs should be closed circle.
one is pointing to the left starting at 8 and the other pointing right starting at 11.