How do you solve the inequality 2x - 5 > 3?

To solve the inequality 2x - 5 > 3, isolate x by adding 5 and then dividing by 2.

First, let's start by isolating the term with the variable x. The inequality given is 2x - 5 > 3. To get rid of the -5 on the left-hand side, we need to add 5 to both sides of the inequality. This step ensures that we maintain the balance of the inequality. So, we have:

2x - 5 + 5 > 3 + 5

This simplifies to:

2x > 8

Next, we need to isolate x by getting rid of the coefficient 2. Since 2 is multiplied by x, we do the opposite operation, which is division. We divide both sides of the inequality by 2:

(2x) / 2 > 8 / 2

This simplifies to:

x > 4

So, the solution to the inequality 2x - 5 > 3 is x > 4. This means that any value of x that is greater than 4 will satisfy the inequality. For example, if x = 5, substituting it back into the original inequality gives:

2(5) - 5 > 3
10 - 5 > 3
5 > 3

Which is true. Therefore, x > 4 is the correct solution.