Question

In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is older than 32. B) Todd is younger than 32. C) Todd is exactly 32 years old. D) Todd is 32 years old or older.

Answer 1

Option A) Todd is older than 32

Explanation:

we have

`(1)/(2)x-6>10`

Solve for x

Adds 6 both sides

`(1)/(2)x>10+6\\\\(1)/(2)x>16`

Multiply by 2 both sides

`x>32`

so

Todd's age is greater than 32

therefore

Todd is older than 32