Question

solve the inequality and graph the solution.
2c + 4 ≤ 8
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( c \), we subtract 4 from both sides of the inequality \( 2c + 4 \leq 8 \). This gives us \( 2c + 4 - 4 \leq 8 - 4 \), which simplifies to \( 2c \leq 4 \).

Step2: Divide both sides by 2

To solve for \( c \), we divide both sides of the inequality \( 2c \leq 4 \) by 2. So, \( \frac{2c}{2} \leq \frac{4}{2} \), which simplifies to \( c \leq 2 \).

Answer:

The solution to the inequality \( 2c + 4 \leq 8 \) is \( c \leq 2 \). To graph this, we plot a closed dot at \( c = 2 \) (since the inequality is "less than or equal to") and draw a ray to the left of 2 (towards negative infinity) on the number line.