Question

solve the inequality and graph the solution. 14 - g < 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.

Explanation:

Step1: Solve the inequality for \(g\)

Subtract \(14\) from both sides of \(14 - g < 20\).
\(14-14 - g<20 - 14\)
\(-g < 6\)
Multiply both sides by \(- 1\) and reverse the inequality sign (since multiplying by a negative number reverses the inequality).
\(g>-6\)

Step2: Graph the solution

On the number - line, since \(g > - 6\), we have an open circle at \(g=-6\) (because the inequality is strict, \(g
eq - 6\)) and the ray extends to the right (towards larger values of \(g\)).

Answer:

The solution of the inequality \(14 - g < 20\) is \(g>-6\). On the number - line, there is an open circle at \(-6\) and the ray extends to the right.