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Question

Question: Solution set of \(p \in Z\) is given by...

Solution set of p∈Zp \in Z is given by

A

{3}

B

{7p−3:p∈Z}\{ 7 p - 3 : p \in Z \}

C

{7p+3:p∈Z}\{ 7 p + 3 : p \in Z \}

D

None of these

Answer

{7p+3:p∈Z}\{ 7 p + 3 : p \in Z \}

Explanation

Solution

x≡3( mod 7)x \equiv 3 ( \bmod 7 ) ⇒ x−3=7p,(p∈z)x - 3 = 7 p , ( p \in z )

x=7p+3,p∈zx = 7 p + 3 , p \in z i.e., .