Question

Determine the type of boundary line and shading for the graph of the inequality y < 2x + 4

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 1

what did you get

Answer 2

I'll give you a hint:
Dashed line means greater than/less than.
Solid like mean greater than or equal to/less than or equal to.

Answer 3

*line

Answer 4

so its either A or C

Answer 5

now plug in (x,y) = (0,0) and see if the inequality is true or false

Answer 6

what is the y ?

Answer 7

x = 0
y = 0

Answer 8

plug those two values in and simplify

Answer 9

is it A ?

Answer 10

good, you got it

Answer 11

ok thanks can you help me with a few more ?

Answer 12

sure

Answer 13

Determine the type of boundary line and shading for the graph of the inequality -2x - y < -6

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 14

is it solid or dashed

Answer 15

dashed

Answer 16

now plug in (0,0)

Answer 17

if you get a true result, then the shaded region includes the origin

Answer 18

so its A ?

Answer 19

what did you get when you plugged in (0,0)

Answer 20

i didnt plug it in i dont understand how to with this one

Answer 21

plug in x = 0 and y = 0

Answer 22

-2,-6 ?

Answer 23

-2x - y < -6

-2*(0) - y < -6 .... replace x with 0

-2*(0) - 0 < -6 ... replace y with 0

simplfiy

Answer 24

simplify*

Answer 25

so is it C ?

Answer 26

good

Answer 27

Which of the following is not an equivalent form of the compound inequality

x + 6 > 13 or x + 6 less than or greater to 11

x > 7 or x less than or greater to 5

x less than or greater to 5 or x > 7

A number line with an open circle on 7, a closed circle on 5, and shading in between.

A number line with an open circle on 7, shading to the right, and a closed circle on 5, shading to the left.

Answer 28

solve x + 6 > 13 for x

Answer 29

how would i do that ?

Answer 30

you need to isolate x

Answer 31

so how would you move that 6 over

Answer 32

(Subtract 6)

Answer 33

subtracting it