Question

solve the inequality and graph the solution.
$c + 17 \geq 20$
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
(number line with marks at 0,1,2,3,4,5,6,7)

Explanation:

Step1: Subtract 17 from both sides

To solve the inequality \( c + 17 \geq 20 \), we subtract 17 from both sides to isolate \( c \).
\( c + 17 - 17 \geq 20 - 17 \)

Step2: Simplify both sides

Simplifying the left side gives \( c \), and simplifying the right side gives 3. So we have \( c \geq 3 \).

For graphing the solution:

• The endpoint is at 3 on the number line. Since the inequality is \( \geq \), the endpoint is a closed circle (indicating that 3 is included in the solution).
• The arrow points to the right (towards positive infinity) because we are including all numbers greater than or equal to 3.

Answer:

The solution to the inequality is \( c \geq 3 \). To graph it, place a closed circle at 3 on the number line and draw an arrow pointing to the right.