y > |x| + 5 [y is greater than the absolute value of x plus 5]
Absolute value or the bars | | means that any number inside will always be positive, even if whatever was inside was negative
For example:
| -7 | = 7
To see if the points are a solution to the inequality, plug it in
A. (1, 7)
y > |x| + 5
7 > |1| + 5
7 > 1 + 5
7 > 6 This is a solution because 7 is greater than 6
B. (0, 5)
5 > |0| + 5
5 > 5 This is not a solution because 5 can't be greater than itself, and the sign would have to be ≥ (greater than or equal to" for it to be true
C. (7, 1)
1 > |7| + 5
1 > 7 + 5
1 > 12 This is not a solution because 1 is not greater than 12
