A student reads an average of 34 pages per day. The number of pages she reads per day varies from the average by up to 8 pages.
a. Write an absolute value inequality that represents the range of the number of pages she reads per day.
b. Solve your inequality.
a.
To calculate: We are asked to write absolute value inequality that represents the situation.
Answer to Problem 6STP
Explanation of Solution
Given information: A student reads an average of 34 pages per day. The number of pages she reads per day varies from the average by up to 8 pages.
Formula:
Calculation:
Here it is given that an average of 34 pages per day. So, h=34
The pages she reads varies 8 per day. So, k=8
Plug in these values into the equation
b.
To calculate: We are asked to Solve the inequality.
Answer to Problem 6STP
Explanation of Solution
Given information:
Calculation:
If we solve the absolute value inequality, we can rewrite the inequality as
Solve the compound inequality for x.
Add each side 34.
We get
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