Answer:
C
Step-by-step explanation:
You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.
Graphing inequalities
The given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.
The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.
This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.
Car seats
In English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:
- A: 0 < x ≤ 26 . . . . . up to 26 lbs
- B: 18 ≤ x ≤ 35 . . . . . between 18 and 35 pounds
- C: 26 ≤ x ≤ 75 . . . . . between 26 and 76 pounds
The seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.
