Question

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

Answer 1

Answer:

B. (1,7)

Step-by-step 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!