Question

Choose the correct description of the graph of the compound inequality

x - 3 < -9 or x + 5=>10

A. A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

B. A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right.

C. A number line with an open circle on -6, a closed circle on 5, and shading in between.

D. A number line with a closed circle on -6, an open circle on 5, and shading in between.

Answer 1

First you need to solve for x in both equations, can you do that?

Answer 2

x<-6 or x=>5?

Answer 3

the => should be >=, but yes it's x<-6 or x>=5

Answer 4

now graph these two

Answer 5

so its C

Answer 6

why C?

Answer 7

because its an opened circle on -6 since the inequality sign is < not =< and a cosed circle on -5 since the inequality sign is >= not >

Answer 8

closed*

Answer 9

you have the open/closed circle portions right, but what about the shading directions

Answer 10

double check which way you're supposed to shade

Answer 11

and shading in between because both signs x is greater than or equal to 5 but less than 6

Answer 12

it's x<-6 and not x<6

Answer 13

sorry x is less than -6

Answer 14

So is it possible to be BOTH less than -6 AND greater than 5 (or equal to 5) at the same time?

Answer 15

no so then the signs would have to flip and make it x>-6 or x=<5

Answer 16

yes, but that's not the case here

Answer 17

so shading in between is impossible

Answer 18

So then the answer is A

Answer 19

you got it

Answer 20

thanks man

Answer 21

np