Question

solve the inequality and graph the solution.
\\(\frac{t + 1}{3}< - 1\\)
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: Multiply both sides by 3

Multiply both sides of $\frac{t + 1}{3}<-1$ by 3 to get $t + 1<-3$.

Step2: Subtract 1 from both sides

Subtract 1 from both sides of $t + 1<-3$, we have $t<-3 - 1$, so $t<-4$.

Answer:

The solution of the inequality is $t<-4$. On the number - line, we use an open - circle at $t = - 4$ (because the inequality is strict, $t$ cannot equal to - 4) and draw a ray to the left.