Loading Calculator...
Please wait a moment
Please wait a moment
Solve simple one-step inequalities with automatic flip rule detection
Inequality: 2x < 10
One-step inequalities are the simplest form of inequalities, requiring only a single operation to isolate the variable. These inequalities involve either multiplication, division, addition, or subtraction to solve.
When solving one-step inequalities involving multiplication or division, you must flip the inequality sign if you multiply or divide by a negative number. This is the most common mistake students make.
A one-step inequality requires only one operation to isolate the variable. For example, 2x < 6 only requires dividing by 2, while 2x + 3 < 11 would be a two-step inequality.
No, you only flip the inequality sign when dividing by a NEGATIVE number. If you divide by a positive number, the inequality sign stays the same.
Pick a number from your solution set and substitute it into the original inequality. If it makes the inequality true, your solution is correct. Also check a number outside your solution set to verify it makes the inequality false.
The symbol < means "less than" (does not include the boundary value), while ≤ means "less than or equal to" (includes the boundary value). On a number line, < uses an open circle and ≤ uses a closed circle.
Yes! You never flip the inequality sign when adding or subtracting. The flip rule only applies when multiplying or dividing by a negative number.
Use parentheses ( ) for < or > and brackets [ ] for ≤ or ≥. For example, x < 5 becomes (-∞, 5) and x ≥ 3 becomes [3, ∞).
You can either divide by the fraction or multiply by its reciprocal. Remember to flip the sign if the fraction is negative!
Number lines provide a visual representation of all values that satisfy the inequality, making it easier to understand the solution set and verify your answer.
Solve any linear inequality
Solve two-step inequalities
Solve complex multi-step inequalities
Visualize inequalities on graphs
Solve AND/OR inequalities
Convert to interval notation