You can do this one simply just by plugging in the values of x and y for each answer.
Note: (0,5) is just a way to right x=0 and y=5
Try answer A (0,5)
[tex]y\ \textgreater \ |x|+5[/tex]
[tex]5\ \textgreater \ |0|+5[/tex]
[tex]5\ \textgreater \ 0+5[/tex]
[tex]5\ \textgreater \ 5[/tex]
This is not true. 5 is not bigger than 5 so A is not the answer
Try answer B (1,7)
[tex]y\ \textgreater \ |x|+5[/tex]
[tex]7\ \textgreater \ |1|+5[/tex]
[tex]7\ \textgreater \ 1+5[/tex]
[tex]7\ \textgreater \ 6[/tex]
This is true so answer B works!
Might as well try answer C (7,1)
[tex]y\ \textgreater \ |x|+5[/tex]
[tex]1\ \textgreater \ |7|+5[/tex]
[tex]1\ \textgreater \ 7+5[/tex]
[tex]1\ \textgreater \ 12[/tex]
1 is obviously not greater than 12 so C does not work
The answer is B (1,7)
