How do you know that any value for y will be a solution to the inequality y + 3.9 > y?

subtract y from both sides and you have

3.9 > 0

which is true for any value of y you choose.

Thanks

To determine whether any value for y will be a solution to the inequality y + 3.9 > y, we can follow these steps:

Step 1: Begin with the given inequality: y + 3.9 > y.

Step 2: Subtract y from both sides of the inequality to isolate the constant term: y + 3.9 - y > y - y. This simplifies to 3.9 > 0.

Step 3: The inequality 3.9 > 0 is true for any value of y, since 3.9 is always greater than 0.

Therefore, any value for y will satisfy the inequality y + 3.9 > y.

To determine whether any value for y will be a solution to the inequality y + 3.9 > y, we can simplify the inequality and analyze the result.

Start by subtracting y from both sides of the inequality:

y + 3.9 - y > y - y

Simplifying the equation further, we find:

3.9 > 0

Now, let's examine this simplified equation. The expression 3.9 is a constant value, which is always greater than 0. Therefore, the inequality 3.9 > 0 is always true, regardless of the value of y.

Since the inequality is always true, any value for y will indeed be a solution to the inequality y + 3.9 > y. In other words, there are no restrictions on the values of y that will satisfy this inequality.