Find all positive solutions for the equation.
-2x≡ 1 (mod 3)
A){2, 6, 10, 14, ...}
B){1, 4, 7, 10, ...}
C){2, 5, 8, 11, ...}
D)None

Question

Quizplus · Accepted Answer

The equation 2x ≡ 1 (mod 3) means that when 2x is divided by 3, the remainder is 1. The smallest positive x that satisfies this is x = 2, because 2*2 = 4, and 4 mod 3 = 1. To find all solutions, we add multiples of 3 to the initial solution (since 3 is the modulus), resulting in the sequence 2, 5, 8, 11, ..., which corresponds to option C.

Find All Positive Solutions for the Equation