Algebra
# Absolute Value

$\large |x| + |y| = 1$

What is the shape of the above graph?

**Notation**: $| \cdot |$ denotes the absolute value function.

$\Large \left| x-2 \right| = 2-x$

Find the **largest** value of $x$ that satisfies the equation above.

Evaluate

$\frac{\sqrt{x^2}}{|x|} + 1,$

where $x$ is a non-zero real number.

If $n$ is an integer, then what is the least possible value of

$\left| 123 - 5n \right| ?$

$\large 2=|x-2|+|x-4|$

Find the solution set of the above equation.