Question

solve the inequality and graph the solution.
90 > 78 + 6r
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: Subtract 78 from both sides

$$90 - 78>78 + 6r-78$$
$$12>6r$$

Step2: Divide both sides by 6

$$\frac{12}{6}>\frac{6r}{6}$$
$$2>r$$
Which can be written as \(r < 2\)

To graph \(r < 2\):

• Plot an open - circle at \(r = 2\) (since the inequality is strict, \(r

eq2\)).

• Draw a ray to the left (because \(r\) is less than 2)

Answer:

The solution of the inequality is \(r < 2\). On the number - line, there is an open circle at \(2\) and a ray extending to the left.