Question

Solve the inequality 2>6-2y

Answer 1

To solve the inequality 2 > 6 - 2y, we need to isolate the variable, y.

First, let's simplify the right side of the inequality by subtracting 6 from both sides:

2 - 6 > 6 - 2y - 6

This simplifies to:

-4 > -2y

Next, we divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the inequality symbol:

-4 / -2 < -2y / -2

Simplifying further, we get:

2 < y

So, the solution to the inequality is y > 2.

This means that any value of y greater than 2 will make the inequality true. For example, y = 3 or y = 10 are both valid solutions.

Explanation: