Answer:
c. 5
Step-by-step explanation:
Try each choice on the right side of the inequality, and see which one makes the inequality true.
a. 0
x(9 - x) = 0 * (9 - 0) = 0 * 9 = 0
10 < x(9 - x)
10 < 0
10 is not less than 0, so a. is out.
b. 1
x(9 - x) = 1 * (9 - 1) = 1 * 8 = 8
10 < x(9 - x)
10 < 8
10 is not less than 8, so b. is out.
c. 5
x(9 - x) = 5 * (9 - 5) = 5 * 4 = 20
10 < x(9 - x)
10 < 20
10 is less than 20, so c. works.
d. 10
x(9 - x) = 10 * (9 - 10) = 10 * (-1) = -10
10 < x(9 - x)
10 < -10
10 is not less than -10, so d. is out.
The only number that works is
c. 5
