Question

solve the inequality and graph the solution. 95 < 57 + 19t plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 57 from both sides

\[95-57<57 + 19t-57\]
\[38<19t\]

Step2: Divide both sides by 19

\[\frac{38}{19}<\frac{19t}{19}\]
\[2 < t\] or \(t>2\)
To graph the solution on the number - line, we place an open circle at \(t = 2\) (because the inequality is strict, \(t\) cannot equal 2) and draw a ray to the right of \(t = 2\) to represent all values of \(t\) that are greater than 2.

Answer:

The solution of the inequality is \(t > 2\). On the number - line, an open circle is placed at \(t = 2\) and the ray extends to the right of \(t = 2\).