Question

Graph the inequality

-2x - y - 1

Answer 1

inequality?

Answer 2

yes thats what it says

Answer 3

this is what I see => \(\huge -2x - y - 1 \)

Answer 4

Yes i can even take a picture of my wkst...

Answer 5

hmmm. ok... I take a picture then

Answer 6

because is missing an inequality sign

Answer 7

ok wait like few min

Answer 8

it's #7

Answer 9

hmm, is a typo then, if I were to make anything out of that, I'd think is \(\huge -2x\ge -y-1\ or \ -2x \le -y-1\)

Answer 10

alright then Ill skip it.. can you help me with #6 then

Answer 11

well, you'd solve for "y" first
what would that give you?

Answer 12

so divide by -2?

Answer 13

yes, keep in mind that, when multiplying/dividing/exponentiazling by a negative value, you need to \(\bf \text{flip}\) the sign

Answer 14

\[y \ge x/2 + 1\]

Answer 15

yeap, so in essence the graph will be, using the line of y = x/2 + 1
the line drawn will be SOLID, because is using \(\bf \ge\)
for > or < is a DASHED line

Answer 16

is a straight line, so all you need is 2 points

Answer 17

how do i graph it? the x/2 part

Answer 18

well, one of the easiest way to get 2 points, is set x = 0, then set y = 0
so \(\bf y \ge \cfrac{x}{2}+1\\ \quad \\ \quad \\
x =0,\qquad y = \cfrac{0}{2}+1\implies y =1\quad (0, 1)\\ \quad \\
y=0, \qquad 0 = \cfrac{x}{2}+1 \implies -2 = x\quad (-2, 0)\)

Answer 19

do i need to find the points or can i just look at the equation?

Answer 20

yeap, that's the line
so for the shading, we do some testing on a point NOT IN THE LINE

say let's use (0, 0) is not in the line, so we'll use that
\(\bf y \ge \cfrac{x}{2}+1\\ \quad \\ \quad \\
(0,0)\\ \quad \\
y \ge \cfrac{x}{2}+1\implies 0 \ge \cfrac{0}{2}+1\implies 0\ge 1\)

so, is 0 really greater or equal to 1? well, not

Answer 21

so the region where (0,0) is at, is the FALSE area
so the TRUE area will be on the other side of the line, and that's the one that gets the shading

Answer 22

do i need to find the points or can i just look at the equation?

Answer 23

for the shading?

Answer 24

no to graph it

Answer 25

is x/2 the same as 2x?

Answer 26

hmm, no.... x/2 is one half, 2x is twice as much

Answer 27

to graph it? you just did :)

Answer 28

the graph is just that one line you drew

Answer 29

then why did you find the (0,1) and (-2,0)

Answer 30

ohh that's for the shading
to show in the graph, where the inequality applies
that is, what part of the graph the values for which that inequality

http://www.regentsprep.org/regents/math/algebra/ae85/grineqa.htm

Answer 31

hhhmmm shoot I misunderstood.. anyhow... the ((0,1) and (-2,0) part was just to get 2 points to make the line, but you did just fine

Answer 32

the (0,0) testing part is for the shading of it

Answer 33

ohh so my graph is okay too?

Answer 34

yeap

Answer 35

alright thanks!! would you mind helping me with one more thing?

Answer 36

@JuanitaM

Answer 37

@jdoe0001