Question

2/9 + y/3 > 1/3
Solve for y

Answer 1

The solution of the inequality 2/9 + y/3 > 1/3 is y > 1/3.

Step-by-step explanation:

To solve this, we'll isolate y on one side of the inequality.

Here are the steps to solve the inequality:

1. First, subtract 2/9 from both sides to get y/3 alone on one side:
2. y/3 > 1/3 - 2/9
3. To subtract the fractions, find a common denominator, which is 9 in this case, and subtract:
4. y/3 > 3/9 - 2/9
5. y/3 > 1/9
6. Multiply both sides by 3 to solve for y:
7. y > 1/9 * 3
8. y > 3/9
9. y > 1/3

Therefore, the solution to the inequality is y > 1/3.