Question

Which of these ordered pairs is a solution to the linear inequality y – 4x ≤ –6?

A.
(–2, 4)


B.
(1, –2)

C.
(1, 3)

D.
(2, 3)

Answer 1

Plug in each of your points and see if what results is true.

For example, take the first one and put -2 and 4 in for x and y.

x=-2, y=4

\[4-4(-2)\le -6\]

\[4+8\le -6\]

\[12 \le -14\]

That's not true, 12 is greater than -14, so move on to the next ordered pair.

Hope that helps :)

Answer 2

The ordered pair that results in a true inequality is your answer.

Answer 3

Oops idk why I put -14, it should be -6

Answer 4

so is A my answer

Answer 5

No, you have to keep trying your options til one results in a true inequality. I don't want to do all the work for you :)

Answer 6

I'm trying but all of this is kinda confusing to me

Answer 7

I'm thinking its C

Answer 8

Well, you do basically the same process with the other answers:

Just plug in the x and y values for x and y in your inequality.

For B, x=1 and y=-2

So replace x with 1 and y with -2:

\[-2-4(1)\le -6\]

And then you just solve. -4*1=-4. -2-4=-6. So it just so happens that B is your answer because -6 is equal to -6 (the sign says the solution is greater than OR equal to)

Answer 9

I hope that makes sense :)

Answer 10

C wouldn't be your answer because you end up with:
\[-1\le -6\]
but that's not true because -1 is greater than -6, not less than -6.

Answer 11

oh okay I understand what I was doing wrong thanks

Answer 12

Yay! :) No problem.

Answer 13

how do I graph x < 2.? and 3y – 5x > –6

Answer 14

For x<2, you want to make your dot 2 from the origin on the x-axis, like this:



then make a vertical, DOTTED line, because it is <

Answer 15

would there be shading to the left or right.? and thanks

Answer 16

For the other one, we first need to simplify it like this:

3y-5x>-6
3y-5x+5x>-6+5x
3y>5x-6
3y/3>5x/3-6/3
y>5/3x-2

So you'll start by making your first dot down 2 on the y-axis, like this:

then you go up five, over 3 to make the second dot, and this again with be a dotted line.

Answer 17

Oh sorry :3 x is LESS THAN so you shade on the left.

Answer 18

for the next one is that also shaded to left or is it right

Answer 19

It is GREATER THAN so that means it's shaded on the right :)

Answer 20

sorry I suck at Algebra... and okay thats what I thought and I just wanted to make sure thanks again for all the help

Answer 21

It's okay, I understand. I hate algebra, it sucks xP But after you've done it for a long enough time, it starts to make some sense. No problem! Good luck :)