Solve the following congruence equations. 1. x=2 mod 3 2. 9x = 21 mod 30 3. 18x = 30 mod 42

Part b is the one I need help with

When working with very large or very small numbers we don't always want to write out all of the zeros. One strategy for shortening these numbers is to write these them in terms of powers of ten. To do this, we consider how many times we need to multiple ten by itself to get the desired output. Example: • 10 = 10¹ • 100 = 10 x 10 = 10² • 1000 Try it = Answer: 10 × 10 × 10 = 10³ Write ten thousand as a power of ten. Calculator

Write the following statement as a mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements and should be expressed using algebra. "There is no largest integer."