Question

Solve the inequality for y.
-3>9-6y
Simplify your answer as much as possible.

Answer 1

y > 2

Explanation:

You want the solution to the inequality ...

-3 > 9 -6y

Solution

We can add 6y+3 to both sides. This gives ...

6y > 12

Dividing by 6 tells us the solution for y:

y > 2

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Additional comment

We could have solved by subtracting 9 to get ...

-12 > -6y

Then dividing by -6 reverses the inequality symbol:

2 < y

We avoid the issue with negative number multiplication or division by making the y-term positive in our solution process.

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