Question

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

Is Graph there for this problem?

Answer 2

nope

Answer 3

< and > have dashed lines

<= and >= have a solid line...

so you can already eliminate 2 of your choices

to see if it includes to origin or not...plug in the coordinate (0,0) into your equation and see if it comes out true...if it does...it includes it...if not...it doesnt

Answer 4

d? @johnweldon1993

Answer 5

I refer you back to my prior post....

< and > have a dashed line...so it couldn't possibly be D

Answer 6

A? @johnweldon1993

Answer 7

so we've ruled out the solid lines...now to see if it involves the origin (0,0)

y > 2x + 6
plug 0 in for y and 0 in for x ...so

0 > 2(0) + 6
0 > 0 + 6
0 > 6

is this true?

Answer 8

yeah

Answer 9

0 > 6 is true?

Answer 10

no!

Answer 11

there we go...so since that is NOT true....then this dashed line...will not be shaded to include the origin...which leaves you with answer choice....?

Answer 12

A!

Answer 13

"will not be shaded to include the origin"

try again

Answer 14

I dont see it! @johnweldon1993

Answer 15

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

Answer 16

oh! ok thanks!

Answer 17

no prob man