Question

12.
the martins’ van can hold up to 8 passengers.
debbie writes the inequality ( p < 8 ), where ( p ) is the number of passengers that can fit in the van.
select the choice that provides the best explanation for debbie’s error and the correct answer in this case.
a. debbie should have used ( 8p ) because 8 passengers can fit in the van.
the correct inequality is ( 8p < 1 ).
b. debbie should have switched the inequality symbol to greater than.
the correct inequality is ( p > 8 ).
c. debbie should have included 8 as a possible choice.
the correct inequality is ( p < 1 ).
d. debbie should have used the not equals sign to compare the two sides of the inequality.
the correct answer is ( p
eq 8 ).

Explanation:

The van can hold up to 8 passengers, meaning 8 is a valid number of passengers. Debbie's inequality $p < 8$ excludes 8, so she should include 8 as an allowed value. The correct inequality should be $p \leq 8$, which includes 8 as a possible choice.

Answer:

C. Debbie should have included 8 as a possible choice.
The correct inequality is $p \leq 8$.