Question

Solve the following inequality: 20t + 9, 200 ≤ 16,000
Answer in interval notation.

Answer 1

[0, 799.95]

Explanation:

First, we need to isolate the variable by subtracting 9 from both sides of the inequality:

20t + 9 - 9 ≤ 16,000 - 9

This gives us:

20t ≤ 16,000 - 9

Next, we can divide both sides of the inequality by 20 to isolate the variable:

20t / 20 ≤ (16,000 - 9) / 20

This simplifies to:

t ≤ 799.95

Finally, we need to express the solution in interval notation. Since the value of t cannot be negative, the solution is:

[0, 799.95]

Therefore, the solution to the inequality in interval notation is [0, 799.95].