Question

solve the inequality and graph the solution. 16t + 15 < -17. 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: Isolate the variable

Subtract 15 from both sides of the inequality $16t + 15 < - 17$.
$16t+15 - 15< - 17 - 15$
$16t<-32$

Step2: Solve for t

Divide both sides of the inequality $16t < - 32$ by 16.
$\frac{16t}{16}<\frac{-32}{16}$
$t < - 2$

To graph the solution on a number - line:

1. Plot an open circle at $t=-2$ (open because the inequality is $<$ and not $\leq$).
2. Draw a ray to the left of $t = - 2$ to represent all the values of $t$ that are less than - 2.

Answer:

$t < - 2$; On the number - line, an open circle at $-2$ and a ray extending to the left.