Question

which of the following is a solution to the inequality below?
$9 + 2c \geq 26$
$c = 8$ $c = 7$ $c = 12$ $c = 1$

Explanation:

Step1: Solve the inequality for c

First, subtract 9 from both sides of the inequality $9 + 2c \geq 26$.
We get $2c \geq 26 - 9$, which simplifies to $2c \geq 17$.
Then, divide both sides by 2: $c \geq \frac{17}{2} = 8.5$.

Step2: Check each option

• For $c = 8$: $8 < 8.5$, so it does not satisfy the inequality.
• For $c = 7$: $7 < 8.5$, so it does not satisfy the inequality.
• For $c = 12$: $12 \geq 8.5$, so it satisfies the inequality.
• For $c = 1$: $1 < 8.5$, so it does not satisfy the inequality.

Answer:

c = 12