Anumber x is no more than 9 units away from 8. write and solve an absolute-value inequality to show the range of possible values of x.
|x − 8| ≤ 9
−1 ≤ x ≤ 17
|x + 8| ≤ 9
−17 ≤ x ≤ 1
|x − 9| ≤ 8
1 ≤ x ≤ 17
|x + 9| ≤ 8
−17 ≤ x ≤ −1

Option A is right

Step-by-step explanation:

Given that a number x is no more than 9 units away from 8

This implies that number can be either larger than 8 by less than 9 units or smaller than 8 by less than 9 units.

Difference between x and 8 is at most 9.

We represent in absolute value as

Hence option A is right

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0