Question

Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work. (4 points)

Answer 1

Let the number be x.
"Five more than four times a number is less than 25" gives the inequality
4x + 5 < 25.

Subtract 5 from both sides:
4x < 20.

Divide both sides by 4 (positive, so the inequality direction stays the same):
x < 5.

Answer: all numbers less than 5 (solution set: (-∞, 5)).