Is (1,2) a solution of the system y>2x and x+y< 3
2 answers:
Answer: No it is <u>not</u> a solution
Why not? Because it doesn't make the first inequality true. Replace x with 1 and y with 2
y > 2x
y > 2*1 ... replaced x with 1
2 > 2*1 .... replaced y with 2
2 > 2 .... which is a false inequality statement since 2 is not larger than itself
Answer: NO!
<u>Step-by-step explanation:</u>
x = 1, y = 2
y > 2x
2 > 2(1)
2 > 2
False
Sine it already failed, no need to check the other equation.
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