How do you graph a linear inequality in two variables

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example:

Is (1, 2) a solution to the inequality
2x+3y>1
2times1+3times2>1
2+5>1
7>1