Given: x - 5 > -2. choose the solution set. {x | x r, x > -7} {x | x r, x > -3} {x | x r, x > 3} {x | x r, x > 7}

{x | x ∈ R, x > 3}

Step-by-step explanation:

We are given the following inequality:

x - 5 > -2

In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:

x - 5 + 5 > -2 + 5

x > 3

So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.

So, {x | x ∈ R, x > 3} is the answer.

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