give 3 solutions of the inequality 5x-2>7

I'm confused. will I have 3 same answers, but have to work the problem 3 different ways, or will there be 3 different answers?

there is only one answer. I guess they want you to attack it in three different ways. Seems kind of pointless to me.

To solve the inequality 5x - 2 > 7, we need to find the values of x that satisfy the inequality. There can be multiple solutions for this inequality, but it is necessary to express them in the proper form. Let's go through three different methods to solve this inequality and see if we get the same or different answers:

Method 1: Using Subtraction

1. Start with the given inequality: 5x - 2 > 7.
2. Add 2 to both sides of the inequality: 5x > 9.
3. Divide both sides of the inequality by 5 (since the coefficient of x is 5): x > 1.8.

Method 2: Using Addition

1. Start with the given inequality: 5x - 2 > 7.
2. Add 2 to both sides of the inequality: 5x > 9.
3. Divide both sides of the inequality by 5 (since the coefficient of x is 5): x > 1.8.

Method 3: Using Isolation

1. Start with the given inequality: 5x - 2 > 7.
2. Add 2 to both sides of the inequality: 5x > 9.
3. Divide both sides of the inequality by 5 (since the coefficient of x is 5): x > 1.8.

As you can see, regardless of the method we used, the answer is the same: x > 1.8. Therefore, in this case, all three methods yield the same solution, which is an infinite set of values for x where x is greater than 1.8.