Question

Help Please :)

Answer 1

Which of the following inequalities matches the graph?

graph of an inequality with a solid horizontal line through the point (0, -1) and shading above the line

x less than or greater to -1

x greater than or equal to -1

y less than or greater to -1

y greater than or equal to -1

Answer 2

What is the equation of the boundary line?

Answer 3

its on -1 and I need to figure that out by the graph @jim_thompson5910

Answer 4

what is the equation of the horizontal line going through -1 ?

Answer 5

that's what im supposed to figure out

Answer 6

what are two points that lie on this boundary line?

Answer 7

umm im guessing (-1,-8)

Answer 8

no, that point is far below the boundary line

Answer 9

but there is only 1 point then

Answer 10

no, there are infinitely many points that lie on the boundary line

Answer 11

one point is (0,-1)

Answer 12

oh yeah

Answer 13

what's another?

Answer 14

-1,-2

Answer 15

i think you're mixing up the coordinates

Answer 16

oh the other way around sry lol

Answer 17

what's another point?

Answer 18

-33333,-1

Answer 19

all of these points have 1 thing in common: the y coordinate is -1

Answer 20

so that's why the equation of this boundary line is y = -1

Answer 21

yes ik

Answer 22

yes but look at the options

Answer 23

x can be anything you want, but y has to be -1

Answer 24

now where is the shaded region? above or below the boundary line?

Answer 25

above

Answer 26

so the equation is \[\Large y \ge -1\]

basically, you shade the region that has all points with y coordinate that are greater than or equal to -1

Answer 27

Thank You @jim_thompson5910 :)

Answer 28

you're welcome

Answer 29

Can you help me with one more exactly like it @jim_thompson5910 ?