Solve linear inequalities of the form ax + b < c using step-by-step logic. Visualize solution sets and intervals.
Equation Terms
2x + 4 < 10
Solution Set
Algebraic
x < 3
Interval(-\infty, 3)
Isolation Steps
1Subtract 4 from both sides.
2Divide by 2.
3Result: x < 3.
3
About this calculator
Inequality Rules
Solving inequalities is almost identical to solving equations. The golden rule is simple: if you multiply or divide both sides by a negative number, you must flip the inequality symbol (e.g., < becomes >).
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Pro Tips
Isolate 'x' by performing inverse operations.
Watch the sign! Dividing by a negative flips the arrow.
Intervals with parenthesis ( ) exclude endpoints; brackets [ ] include them.
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Fun Facts
"The inequality symbols < and > were introduced by Thomas Harriot in 1631."
"Inequalities are fundamental to Linear Programming, used for optimization in business and logistics."
