What Is a Solution Set?

A solution set is all of the values that solve an equation. If there are no solutions for an equation, the solution set is referred to as the null or empty set.

Solution sets are given in ordered pairs with x and y values. To find a solution set, the equation is solved for y. An ordered pair is written as (x,y). The ordered pairs are then used to graph the equation. A graph consists of two axes, x and y. The x axis runs horizontally, while the y axis is vertical.

When the equation involves an inequality, the solution set is often on an infinite level.