Linear Inequality Solver
How It Works
This linear inequality solver uses established formulas to provide accurate results.
The basic rule:
- ax + b < c → x < (c-b)/a (if a > 0)
- ax + b < c → x > (c-b)/a (if a < 0, flip inequality)
- Interval notation: ( ) = open, [ ] = closed
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
Why do you flip the inequality when dividing by a negative?
Multiplying or dividing both sides of an inequality by a negative number reverses the order. For example, -2 < 3, but multiplying both by -1 gives 2 > -3. The inequality must flip to remain true.
What is interval notation?
Interval notation uses parentheses ( ) for exclusive bounds and brackets [ ] for inclusive bounds. For example, x > 3 is (3, ∞) and x ≤ 5 is (-∞, 5].
What is the difference between < and ≤?
< means strictly less than (does not include the boundary point — open circle on number line). ≤ means less than or equal to (includes the boundary — closed circle).