Question

Which of the following are solutions to the inequality below? Select all that apply.

112
c
≥ 23
C=1c=7c=2c=2c=8

Answer 1

To solve the inequality \( 112c \geq 23 \), we can first isolate \( c \).

1. Divide both sides of the inequality by 112:
\[
c \geq \frac{23}{112}
\]

2. Now we calculate \( \frac{23}{112} \):
\[
\frac{23}{112} \approx 0.20536
\]

Now we check the given values \( c = 1, 7, 2, 2, 8 \) to see which of them are greater than or equal to \( 0.20536 \):

- \( c = 1 \): \( 1 \geq 0.20536 \) (True)
- \( c = 7 \): \( 7 \geq 0.20536 \) (True)
- \( c = 2 \): \( 2 \geq 0.20536 \) (True)
- \( c = 2 \): \( 2 \geq 0.20536 \) (True)
- \( c = 8 \): \( 8 \geq 0.20536 \) (True)

Thus, all of the provided values \( c = 1, 7, 2, 2, \) and \( 8 \) are solutions to the inequality \( 112c \geq 23 \).