Question

solve the inequality and graph the solution.
5(t + 1) < 10
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: Expand the left side

$$5(t + 1)=5t+5$$
The inequality becomes $5t + 5<10$.

Step2: Subtract 5 from both sides

$$5t+5 - 5<10 - 5$$
$$5t<5$$

Step3: Divide both sides by 5

$$\frac{5t}{5}<\frac{5}{5}$$
$$t < 1$$

Answer:

The solution of the inequality is \(t < 1\). On the number - line, we plot an open circle at \(t = 1\) (because the inequality is strict, \(t
eq1\)) and draw a ray to the left of \(t = 1\) towards negative infinity.