Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds.
a y is greater than negative 1 over 36
b y is less than negative 1 over 36
c y > 0
d y < 0
To solve the inequality, we will follow these steps:
1. Start with the inequality: 2(y + 1/3) > 2/3.
2. Distribute the 2 to the terms inside the parentheses: 2y + 2/3 > 2/3.
3. Subtract 2/3 from both sides to isolate the variable: 2y > 2/3 - 2/3.
4. Simplify the right side: 2y > 0.
5. Divide both sides by 2 to solve for y: y > 0/2.
6. Simplify: y > 0.
Therefore, the value of y for the inequality is y > 0.
The correct option is c) y > 0.