Question

Solve the following inequality: 3y + 5 < 10. Express your answer in terms of a mixed number.

A) y < 5/3
B) y < 5/3
C) y < 5/3
D) y < 5/3

Answer 1

To solve the inequality 3y + 5 < 10, we subtract 5 from both sides, divide by 3, and express y < 5/3 as a mixed number, yielding y < 1 2/3.

Step-by-step explanation:

To solve the inequality 3y + 5 < 10, first subtract 5 from both sides of the inequality:

3y + 5 - 5 < 10 - 5

3y < 5

Next, divide both sides by 3 to solve for y:

3y/3 < 5/3

y < 5/3

Since the question asks for the answer as a mixed number, we convert 5/3 to mixed number form:

5/3 = 1 2/3

Therefore, y < 1 2/3.