Which of the following points are solutions to the system of inequalities shown below?

Check all that apply.

y < 3x + 5
y > -3x + 2


A. (2, 11)
B. (-3, 12)
C. (-3, -5)
D. (0, 4)
E. (4, 4)
F. (2, -1)

Answer :

metchelle
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4)  option e. (4, 4)  and option f. (2, -1) 
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
<  3x + 5
-5 
<  3(-3) + 5
-5 
<  -9 + 5
-5 
<  -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.

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