The solution set for given inequality is the set of all real numbers. Therefore the correct option is C.
According to the given question.
We have an inequality.
2p + 5 > 2(p - 3)
We have to find the solution for the given inequality.
A solution for an inequality in variableis a number such that when we substitute that number for variable we have a true statement.
Therefore, the solution for inequality 2p + 5 > 2(p - 3) is given by
2p + 5 > 2(p -3)
⇒ 2p + 5 > 2p - 6
⇒ 2p -2p + 5 > -6 (subtract 2p both the sides)
⇒ 5 > -6
This inequality is free from variable p and it is true for any value of p.
Hence, the solution set for given inequality is the set of all real numbers. Therefore the correct option is C.
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