Question

which points are the solutions to the system of inequalities
y>2x+1
y<-2x+3

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

Answer 1

HINT: Try subbing in an x-value from a coordinate

Answer 2

its confusinggg

Answer 3

:(

Answer 4

(ex)

For
A. (-4,-1)

It would be:
-1 > 2(-4) + 1

Which is:
-1 > -8 + 1
-1 > -7

Is -1 greater than -7? Yes. So lets check the second inequality:

It would be:
-1 < -2(-4) + 3
-1 < 8 + 3
-1 < 11

Is -1 less than 11? Yes. So, this inequality holds.

This means that the coordinate (-4,-1) holds for this system of inequalities. Try a similar procedure with the other coordinates.

Answer 5

It is basically asking you to sub in (x,y) into the two inequalities and see if they hold true. If not, then that coordinate is not a solution of the inequality.

Answer 6

@ayojenn

Answer 7

ok so
(3)<2(1)+1 and
(3)<-2(1)+3

Answer 8

like that?

Answer 9

That is for E.?

Answer 10

Yes, so now simplify both sides and see if the inequality holds.

Answer 11

yes o:
(3)>2+1
(3)<1

Answer 12

3>3 and 3<1?

Answer 13

That certainly is not true. So, E. is not a solution

Answer 14

Do you understand now? That is how you would go about, checking each coordinate

Answer 15

yesss i do sorta haha

Answer 16

Ok good job. Just read it over, and if you have further questions, just drop by a message.

Answer 17

ok wait i tried (-1,2)

Answer 18

i got 2>0 and 2>-4
so thats true??? right?