Question of the Day

Can you answer today's question?

Register Next Tests:
12/6 , 1/24

Nov
24
2014
3,230 responses
Question of the Day Statistics
Number Answered
Correct 1,584
Incorrect 1,646
49% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

It costs d dollars to ship a package that weighs p pounds if and only if 6 is less than or equal to p is less than or equal to 10. If Alan's package weighs p pounds and costs d dollars to ship, which of the following must be true?

Answer Choices

Hint

If 6 is less than or equal to p is less than or equal to 10, then (6 minus 8) is less than or equal to (p minus 8) is less than or equal to (10 minus 8).

Question of the Day

Can you answer today's question?

Register Next Tests:
12/6 , 1/24

Nov
24
2014
3,230 responses
Question of the Day Statistics
Number Answered
Correct 1,584
Incorrect 1,646
49% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

It costs d dollars to ship a package that weighs p pounds if and only if 6 is less than or equal to p is less than or equal to 10. If Alan's package weighs p pounds and costs d dollars to ship, which of the following must be true?

Answer Choices

Answer

If Alan's package weighs p pounds and costs d dollars to ship, then 6 is less than or equal to p is less than or equal to 10. Subtracting 8 across these inequalities gives the equivalent (6 minus 8) is less than or equal to (p minus 8) is less than or equal to (10 minus 8), and so (negative 2) is less than or equal to (p minus 8) is less than or equal to 2. By the definition of absolute value, it follows that (absolute value of p minus 8) is less than or equal to 2 must be true.