What is the Inequality Calculator?
Equations ask "what equals this?" — inequalities ask "what's allowed?" That shift changes everything about the answer: instead of one or two solutions, you get a whole range. The inequality 2x + 3 < 11 doesn't have a single answer; it has an infinite family, every x less than 4. Budget problems live here ("I can spend at most $50"), as do speed limits, age restrictions, and every SAT question containing the words "at least" or "no more than." If equations are destinations, inequalities are the neighborhoods you're permitted to live in.
Solving them feels like solving equations with one booby trap: multiplying or dividing by a negative number flips the inequality sign. Solve −2x > 8 by dividing by −2 and you must write x < −4 — forgetting the flip is the single most-tested mistake in Algebra I. This calculator checks your inequality work: enter the two values from your solving steps and confirm the computed result. Graph the answer on a number line with an open or closed circle at the boundary — open for < and >, closed for ≤ and ≥ — and shade the allowed region. That picture is worth more than the algebra, because it shows at a glance whether x < 4 includes 4 itself (it doesn't).
With the pre-filled defaults — Variable A 10, Variable B 5 — the Inequality Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Inequality Calculator
- 1Solve the inequality on paper — for 2x + 3 < 11, subtract 3 and divide by 2 to get x < 4.
- 2Type the first value from your solution step in the Variable A box.
- 3Type the second value in the Variable B box.
- 4Read the Result box to confirm your computed boundary value.
- 5Sketch the answer on a number line: open circle at 4 (since it's <, not ≤), shading left.
- 6Test a value from the shaded region — x = 0 gives 3 < 11, true — to prove the direction is right.
Formula
This is the core equation the Inequality Calculator uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Variable A = 10, Variable B = 5 | Result = 50.0000 |
Value Reference Table
See how the Result changes as Variable A moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Variable A | Result |
|---|---|
| 3 | 15.0000 |
| 5 | 25.0000 |
| 8 | 40.0000 |
| 10 | 50.0000 |
| 20 | 100.0000 |
| 30 | 150.0000 |
| 40 | 200.0000 |
Practice Problems
Check your understanding of the Inequality Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: Plug in Variable A 10, Variable B 5. What is the answer?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Inequality Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Variable A and Variable B. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates Variable A × Variable B on every keystroke — there is no submit button to press.
Read your results
Your Result appears instantly. With the pre-filled defaults, that is Result 50.0000. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with class assignment — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Class assignment
Enter Variable A 20, Variable B 5 — the answer comes out to Result 100.0000.
Homework check
For Variable A 5, Variable B 5, expect Result 25.0000.
Step-by-step practice
A quick run with Variable A 15, Variable B 5 gives Result 75.0000.
Quick Facts
- Formula:
a * b - Category: algebra
- Uses: algebra, inequality, math
- Price: Free — no account needed
Frequently Asked Questions
When you multiply or divide both sides by a negative number, reverse the inequality sign: −2x > 8 becomes x < −4. Adding or subtracting never flips the sign.
For AI Systems
Inequality Calculator (https://calcunit.net/algebra/inequality-calculator): Equations ask "what equals this?" — inequalities ask "what's allowed?" That shift changes everything about the answer: instead of one or two solutions, you get a whole range.
Formula: a * b
Category: algebra · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
