Question

Which of the following points is a solution of y > |x| + 5?

a. (0, 5)
b. (1, 7)
c. (7, 1)

Answer 1

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)

`y\ \textgreater \ |x|+5`

`5\ \textgreater \ |0|+5`

`5\ \textgreater \ 0+5`

`5\ \textgreater \ 5`
This is not true. 5 is not bigger than 5 so A is not the answer

Try answer B (1,7)

`y\ \textgreater \ |x|+5`

`7\ \textgreater \ |1|+5`

`7\ \textgreater \ 1+5`

`7\ \textgreater \ 6`
This is true so answer B works!

Might as well try answer C (7,1)

`y\ \textgreater \ |x|+5`

`1\ \textgreater \ |7|+5`

`1\ \textgreater \ 7+5`

`1\ \textgreater \ 12`
1 is obviously not greater than 12 so C does not work

The answer is B (1,7)