Question

Can someone explain to me how to solve this?

Which of the following points lie in the solution set to the following system of inequalities?

y ≤ x - 5
y ≥ -x - 4

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

Answer 1

plug and chug would be the easiest way. the points are given in:
(x,y) form, so you can plug them in for the equations, only one set will work on both

Answer 2

I was thinking B

Answer 3

For the case of B):
(5,-2)
eqn 1:
2 ≤ 5-5
2 ≤ 0 <--- not true, can't be B.

For the case of C:
(-5,-2)
eqn 1:
-2 ≤ -5 - 5
-2 ≤ -10 <--- not true, can't be C

As it happens, this also rules out A and D.
the actual roots for this system are:
x= 1/2; y =-9/2
and
x>1/2; -x-4≤y≤x-5

Answer 4

Wait? So, whats the answer? You ruled all of the answers out?

Answer 5

and you made a mistake on the first equation, its suppose to be a negative 2, not positive.

Answer 6

how am I suppose to answer it if all of the answer choices are wrong? this is confusing? lol

Answer 7

indeed i did,
-2 ≤ 0 is true,
y ≥ -x - 4
-2 ≥ -5 -4
-2 ≥ -9 is also true,

I'm dumb, sorry...
B is correct.

Answer 8

haha its okay, I do it all the time, hahaha :D Thanks for your help! :)