Coefficient of x (a) Enter the coefficient of x in your inequality

Constant term (b) Enter the constant term on the left side of the inequality

Inequality Symbol Select symbol Less than (<) Less than or equal to (≤) Greater than (>) Greater than or equal to (≥)

Right side constant (c) Enter the constant on the right side of the inequality

Quick Examples:

2x + 3 > 7 -3x + 4 ≤ 10 5x - 2 ≥ 13

Solve Clear

For the best results, try graphing the boundary point on a number line to visualize the solution set before submitting your work.

This tool is for informational and educational purposes only. It is not a substitute for professional medical advice, screening assessment, or treatment. Always consult a qualified healthcare professional before making any health-related decisions.

This estimation tool is for educational purposes only. While calculations follow standard algebraic rules, please verify Your Calculation with official course materials or a teacher.

How Solution Set Is Calculated

The solution set represents the specific range of values that satisfy the mathematical relationship defined by your inequality. The calculation relies on algebraic isolation to find the boundary point between valid and invalid numbers.

First, the constant term (b) is moved to the right side to group the variable terms together. Next, you divide the result by the coefficient (a) to isolate x. It is vital to reverse the inequality symbol if you divide by a negative number. This standard algebraic method aims to ensure that you identify the correct interval every time.

What Your Solution Set Means

Your solution set represents the real-world range of possibilities, such as how many units it is recommended to sell or a minimum score needed to pass. Understanding this range provides information to help make decisions based on strict limits or flexible goals.

Strict Inequalities (< or >): If your result is $x > 5$, it is recommended to choose a number strictly higher than 5. The number 5 itself is not a valid answer, which is useful for setting targets that must be exceeded.

Inclusive Inequalities (≤ or ≥): If the result is $x ≤ 10$, the number 10 is included in the valid range. This is common when defining maximum capacities or budget limits where reaching the limit is acceptable.

No Solution: If the calculator outputs "No solution," it means the inequality is impossible, such as stating a number is greater than 5 and less than 2 simultaneously.