y/6>y/12+1
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y/6>y/12+1
multiply each term by 12, the common denominator.
2y > y + 12
subtract y from each side
y > 12
To solve the inequality y/6 > y/12 + 1, you will need to gather the terms involving y on one side of the inequality sign and the constants on the other side. Here's how you can do it step by step:
1. Begin by subtracting y/12 from both sides of the inequality:
y/6 - y/12 > 1
2. To subtract the fractions, you need to have a common denominator. The least common multiple of 6 and 12 is 12, so multiply the first fraction by 2/2 (which is equivalent to multiplying by 1):
(2/2)(y/6) - y/12 > 1
(2y/12) - y/12 > 1
3. Combine the fractions with the same denominator:
(2y - y) / 12 > 1
4. Simplify:
y/12 > 1
Now, we have the inequality y/12 > 1. To find the solution, multiply both sides of the inequality by 12 to get rid of the fraction:
12 * (y/12) > 12 * 1
y > 12
Therefore, the solution to the inequality y/6 > y/12 + 1 is y > 12.