Question

solve. then graph. write the solution set using both set - builder notation and interval notation. 5t < - 40
write the solution set using set - builder notation. select the correct choice and fill in the answer box to complete your choice. (type an integer or a simplified fraction.)
a. the solution set is {t|t > }
b. the solution set is {t|t ≥ }
c. the solution set is {t|t < }
d. the solution set is {t|t ≤ }
write the solution set using interval notation.
the solution set is
(simplify your answer. use integers or fractions for any numbers in the expression.)
which of the following is the graph of the solution set?

Explanation:

Step1: Isolate the variable t

Divide both sides of the inequality $5t < - 40$ by 5. Since 5>0, the direction of the inequality sign remains the same. So, $\frac{5t}{5}<\frac{-40}{5}$, which simplifies to $t < - 8$.

Answer:

C. The solution set is $\{t|t < - 8\}$.
The solution set in interval - notation is $(-\infty,-8)$.
The graph of the solution set is B. (A number - line with an open circle at - 8 and an arrow pointing to the left).