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Question

Mathematics Question on Congruence

If a ≡ b (mod m) and x is an integer, then which of the following is incorrect ?

A

(a + x) ≡ (b + x)(mod m)

B

(a - x) ≡ (b - x)(mod m)

C

ax ≡ bx (mod m)

D

(a - x) ≡ (b + x) (mod m)

Answer

(a - x) ≡ (b + x) (mod m)

Explanation

Solution

The correct option is (D) : (a - x) ≡ (b + x) (mod m).