Question

solve the inequality and graph the solution.
14 > -6b + 2
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 2 from both sides

$$14 - 2> - 6b+2 - 2$$
$$12>-6b$$

Step2: Divide both sides by - 6 and reverse the inequality sign

$$\frac{12}{-6}<\frac{-6b}{-6}$$
$$- 2 < b$$
$$b>-2$$

Answer:

The solution of the inequality is \(b > - 2\). On the number - line, we plot an open circle at \(b=-2\) (because the inequality is strict, \(b
eq - 2\)) and draw an arrow to the right.