Question

Which point is a solution to the following system of inequalities?

x – 2y > 10
3x + 4y < 10

Answer 1

I'm guessing you have a list of answer choices since there are many possible points that are included in the solution.

Answer 2

(1, 10)

(2, –3)

(4, –4)

(–2, –5)

Answer 3

options, haha sorry

Answer 4

Okay, so let me ask you this. You have the list of answer choices. What is preventing you from substituting each point into both equations to test and see if it works?

Answer 5

I wanna know how to get to the answer properly

Answer 6

Okay, so the list of points above are (x,y) points correct?

Answer 7

yes

Answer 8

Okay, so for example, the first possible point (1,10) means that x = 1 and y = 10, correct?

Answer 9

yep

Answer 10

go on..?

Answer 11

@brittneyy18rm who is to say that testing the points are not the proper way to see if they satisfy the inequalities?

Answer 12

What method have you been instructed to use? I would do just as Hero suggested.

Answer 13

ahh alright that's true, I'll plug in the points then

Answer 14

I got the 3rd one, but I think it's wrong

Answer 15

There is a method to this madness. Take a look at the 2nd equation which in my mind is simpler than the first equation. 3x +4y < 10 lets examine the points listed and see if we can eliminate any. Then what we have left we will test on the first equation.
A. (1,10) test: 3+40 <10 A. Is a no go.
B. (2,-3) test 6 - 12 = -6 B. Is a possibilit
C.(4, -4) Also a possibility
D (-2, -5) Also a possibility

Now to the first equation x -2y > 10
B. 2,-3) 2-2(-3) > 10, 8 > 10 No Go for B (we have already eliminated A)
C. (4, -4) 4 - 2(-4)>10 12>10 A Go Looks like answer C but check out D for kicks
D (-2,-5) -2 - 2(-5)>10 8>10 No Go

Answer 16

The web was down for bit there sorry for delay.

Answer 17

oh yay I was right haha

Answer 18

Yes, good deal, good luck with these.

Answer 19

would you mind helping me with my last question? it's kinda different:

\[\sqrt[2]{x+7}^{-10}=-8\]

Answer 20

options:
x = –6

x = –4

x = 32

x = 74

Answer 21

\[\sqrt{x+7^{-10}}=-8\]\[\sqrt{x+7}^{-10}=-8\] Which of these two is it?

Answer 22

the 2nd one

Answer 23

\[1 \over \sqrt{x+7})^{10}=-8\]\[1/(x+7)^{5}=-8\]

Answer 24

I am having some trouble, are you suppose to be using logs?

Answer 25

I'm not sure

Answer 26

I am at a loss, I would have to guess at this one, and I would guess at x=-4, cause it doesn't make sense to me. I would repost that problem and someone with more knowledge than I can help you. Suggesting you guess is not a good idea at this time. Please post it as a new question.

Answer 27

Are you sure that the radical has an index of 2? (square root)???