The answer is 2/3 because absolute value is always positive and a rational number is a fraction
Answer:
There are 1000 different sandwiches possible.
Step-by-step explanation:
The number of breads available is, 5.
The number of meats available is, 8.
The number of cheese available is, 5.
The number of special sauces available is, 5.
Assuming that a person is allowed 1 selection of each category.
The possible number of sandwiches that can be made is:

Thus, there are 1000 different sandwiches possible.
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.