Verify the following statements

Question

Verify the following statements
a)128 ≡ 2 (mod 7)
b)149 ≡ 5 (mod 9)
c)(45-104)≡(3-2)(mod 6)

Answer 1

128 = 2 ( Mod 7) 

    

a)  128 = 18* 7 +2 

        = 126 +2

 True .

 

b) 149 = 5 ( mod 9)

 

    149 = 9 * 16 + 5=

               144 + 5 = 149

   true

 

c) ( 45 - 104) = ( 3 -2 ) ( mod 6)