Question

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

A. (0, 5)
B. (1, 7)
C. (7, 1)​

Answer 1

B. (1,7)

Explanation:

We can substitute the x and y values of each coordinate into the inequality and test if they work.

Let's start with A, 5 being y and 0 being x .

`5 > |0|+5\\5> 0+5\\5 > 5`

5 IS NOT greater than 5, they are the exact same, so A is out.

Let's try B, 1 being x and 7 being y.

`7 > |1| + 5\\7 > 1 + 5\\7 > 6`

7 IS greater than 6, so B. (1,7) does work for this inequality!

Let's do C for fun, when 7 is x and 1 is y.

`1 > |7| + 5\\1>7+5\\1>12`

1 IS NOT greater than 12, it is quite less than 12, so C doesn't work.

Therefore B. (1,7) works for the inequality of
`y > |x|+5`.

Hope this helped!