Question

solve the inequality and graph the solution.
3c < 9
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.

Explanation:

Step1: Isolate the variable \( c \)

Divide both sides of the inequality \( 3c<9 \) by \( 3 \).
$$\frac{3c}{3}<\frac{9}{3}$$

Step2: Simplify

Simplify the left - hand side \( \frac{3c}{3}=c \) and the right - hand side \( \frac{9}{3} = 3 \). So, \( c < 3 \).

To graph \( c < 3 \):

• Plot an open circle at \( c = 3 \) (because the inequality is strict, \( c

eq3 \)).

• Draw a ray to the left of \( 3 \) (since \( c \) is less than \( 3 \)).

Answer:

The solution of the inequality \( 3c<9 \) is \( c < 3 \). On the number line, there is an open circle at \( 3 \) and a ray extending to the left.