Question

solve the inequality and graph the solution.
91b - 85 < 97
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Add 85 to both sides

$$91b-85 + 85<97 + 85$$
$$91b<182$$

Step2: Divide both sides by 91

$$\frac{91b}{91}<\frac{182}{91}$$
$$b < 2$$

To graph the solution:

• Plot an open endpoint at \(b = 2\) (since the inequality is strict, \(b

eq2\)).

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

Answer:

The solution of the inequality \(91b-85 < 97\) is \(b < 2\). On the number - line, there is an open circle at \(2\) and a ray extending to the left.