One-Step Inequality Solver (Addition)
Solve one-step inequalities involving addition with our easy-to-use solver. Visualize solutions on a number line. Ideal for students and educators.
Set your inequality:
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.
- Inequality Symbols: Understand < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).
- Solving Steps: Isolate x by subtracting the constant term from both sides.
- Visualization: Interpret the number line to understand the range of solutions.