Question

which of the following order pairs is a solution to the system y<3 and y>2x+2

A. (-3,5)
B. (-2,0)
C. (-5,2)
D.(3,5)

Answer 1

B or C

Answer 2

what one do you think?

Answer 3

test each case

Answer 4

that dosnt help.. im terrible at algebra i honestly have no idea what to do

Answer 5

lemme test the 1st point agains the 1st inequality
so the 1st inequality is y<3
the point to use is (-3, 5)
x, y
that is x = -3
y = 5

y < 3 # there's no x, so just y
5 < 3 # now is that true, is 5 really smaller than 3?

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let's test the 2nd inequality, y > 2x+2
same point,
that is x = -3
y = 5

y > 2x + 2
5 > 2(-3) +2
5 > -6 + 2
5 > -4 # now is 5 really bigger than -4?

Answer 6

yes

Answer 7

yes to both inequalities?

5 < 3 # now is that true, is 5 really smaller than 3?
5 > -4 # now is 5 really bigger than -4?

Answer 8

testing each case like so
the solution point, will give TRUE to both tests

Answer 9

and yes, you're right the 2nd is TRUE, 5 is indeed bigger than -4
but he 1st isn't, 5 isn't really smaller than 3, so is FALSE
so that point is not your solution

btw once the 1st falls through, no need to bother with the 2nd
I did just to examplify

Answer 10

so its not A

Answer 11

right

Answer 12

it wouldnt be D either would it?

Answer 13

dunno, test it