Question

10c + 5 ≤ 45
choose 1 answer:
a
<---| | | | | | | | | • | | | | |--->
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
b
<---| | | | | | | | | • | | | | |---> (arrow left)
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
c
<---| | | | | | | | | ◦ | | | | |---> (arrow left)
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
do 7 problems

Explanation:

Step1: Solve the inequality \(10c + 5 \leq 45\)

Subtract 5 from both sides: \(10c + 5 - 5 \leq 45 - 5\)
Simplify: \(10c \leq 40\)

Step2: Divide both sides by 10

\(\frac{10c}{10} \leq \frac{40}{10}\)
Simplify: \(c \leq 4\)

Step3: Analyze the number lines

• Option A: The line is to the right of 4 (including 4), which represents \(c \geq 4\) (incorrect).
• Option B: The line is to the left of 4 (including 4), which represents \(c \leq 4\) (correct).
• Option C: The circle is open (not including 4) and the line is to the left, but our solution includes 4 (incorrect).

Answer:

B