Question

Please help ): Determine the type of boundary line and shading for the graph of the inequality -3x - 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 1

i dont get how to do this at all help?

Answer 2

First, change the inequality into its corresponding equation by simply using the = sign instead of the > sign.

Answer 3

Then, graph the line. Since the original problem has a simple > sign, not a >= sign, the line will be dashed.

Answer 4

another trick to figure out the origin thing is to :

1. plugin x=0, y=0. if the inequality satisfies, then it includes origin.

Answer 5

-3x - y > -6

plugin x = 0, y = 0

-3(0) - 9 > -6

0 > -6

true

Answer 6

So, it includes origin

Answer 7

i still dont get it but thank you @ganeshie8

Answer 8

oops sorry !! i made a mistake in my calculation above. that wud have confused u

Answer 9

it must be like this :-

-3x - y > -6

plugin x = 0, y = 0

-3(0) - 0 > -6

0 > -6

true

Answer 10

its okay if u dont get it now, do two more problems like these... im sure these wud make sense to you :) good luck !

Answer 11

so the answer is A then correct?

Answer 12

@ganeshie8

Answer 13

A is correct !!!

Answer 14

dashed line cuz there is no = sign in the given inequality

Answer 15

includes origin, cuz it satisfies when we plugged x=0, y=0

Answer 16

will you help me with another please? @ganeshie8

Answer 17

sure post it :)

Answer 18

thank you! and okay