Question

Evaluate: 10-| x-20 | for x = 7.5​

Answer 1

- 2.5

Explanation:

Note that the absolute value function always returns a positive value, that is

| - a | = | + a | = a

Given

10 - | x - 20 | ← substitute x = 7.5 into the expression

= 10 - | 7.5 - 20 |

= 10 - | - 12.5 |

= 10 - 12.5

= - 2.5

Answer 2

Note that absolute value changes a value to a positive number regarding it's sign.

= 10 - |x - 20|

= 10 - |7.5 - 20|

= 10 - |-12.5

= 10 - 12.5

= -2.5 (Answer)

Hope This Helped! Good Luck!