For any real numbers, there exists the following linear inequality:
3. When a ≥ b, a + c ≥ b + c.
4. When c > d, a- c < a - d.
The correct inequalities are the above mentioned options, as they both meet the requirements for becoming an inequity's attributes.
The other options would not satisfy the characteristics and would not be correct. For instance, the first option, a - b ≥ a + b, is false since the inequality requires the same modification to be made on both sides in order for the expression to make meaning.
The left over options, 2 and 5, will also fail to resolve the inequality and justify the equation.
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