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Is (1, 3) a solution to the system of inequalities below?
y> 2x + 1
y <-3x
Why or why not?


Sagot :

Substitute and Check:

[tex]y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false[/tex]

We can stop here and conclude that ( 1 , 3 ) is not a solution to this system, since it does not even satisfy the first equation, but check for the other one just in case:

[tex]y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false[/tex]