Question

Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -2x + 2

Answer 1

A. (-4, 0)
B. (-3, 2)
C. (2, -1)
D. (0, 6)

Answer 2

plug in the given points and see which satisfy both the inequalities. let me show one.
let us take the first option.
(-4,0)
y=-4,x=0
x+4=4
-4 is not greater than 4
so it does not satisfy the first inequalty. so it is nt the correct one. similarly can u chck the others? @tiffpink

Answer 3

y = -3, x = 2
what do I do next?

Answer 4

what is x+4=?

Answer 5

4x ?

Answer 6

no. x=2
so x+4=2+4=6
getting it?

Answer 7

sorry I am not getting it

Answer 8

oops sorry.

Answer 9

i made a big mistake. I am really sorry.
the first value is x nd second is y.
so let me take the first one explain.
(-4,0)
then x=-4 and y=0
x+4
in place of x u can put the number -4 and find the value of x+4.
-4+4=0
y=0
y must be greater than x+4. but here both are equal. so the point (-4,0) does not satisfy the first inequality y>x+4. getting it?

Answer 10

@tiffpink

Answer 11

@kelliegirl33 can you please help? :/

Answer 12

y > x + 4
y > - 2x + 2

Now we are gonna plug in the values and see if the inequality is true.
Lets take the first answer choice...(-4,0) <--x = - 4 and y = 0
plug those values into the inequalities...
y > x + 4
0 > -4 + 4
0 > 0 (not true, 0 is not GREATER then 0...so A is not correct.
Next one...(-3,2)
y > x + 4
2 > -3 + 4
2 > 1 (this is true)
However, we have to check it with the other inequality...
y > - 2x + 2 ...(-3,2)
2 > -2(-3) + 2
2 > 6 + 2
2 > 8 (not true)
B. (-3,2) will not work because it has to be true for both inequalities
Next one...(2, -1)
y > x + 4
-1 > 2 + 4
-1 > 6 (not true)
C. will not work
Last one...(0,6)
y > x + 4
6 > 0 + 4
6 > 4 (correct)
check the other inequality...
y > -2x + 2.....(0,6)
6 > -2(0) + 2
6 > 0 + 2
6 > 2 (correct)

As you can see, (0,6) works in both inequalities and is therefore your answer.
If you have any questions about what I just did....ask :)