One-Step Inequality Solver (Addition)

Quickly solve inequalities of the form x + a < b, x + a > b, x + a ≤ b, or x + a ≥ b and visualize the solution on a number line.

Set your inequality:

$$x +$$
Equation:

Solution Set:

Number Line Visualization

Understanding One-Step Inequalities (Addition)

One-step inequalities are algebraic problems that can be solved in just one step. When dealing with addition inequalities like x + a < b, our goal is to isolate x on one side of the inequality.

To solve for x, we subtract a from both sides of the inequality. For example, if we have x + 3 < 7, we subtract 3 from both sides to get x < 4. This means any value of x less than 4 will satisfy the original inequality.

The number line visualization helps to see all possible solutions at a glance. An open circle on the number indicates that the endpoint is not included (for < and >), while a closed circle would indicate it is included (for ≤ and ≥). The shaded line extends in the direction of all possible values of x that satisfy the inequality.