Solve linear inequalities of the form ax + b < c and visualize the solution set.
Inequality
2x + 5 < 13
Solution
Solutionx < 4
Interval Notation(-∞, 4.00)
About this calculator
Solving Linear Inequalities
Solving a linear inequality is like solving a linear equation, with one key difference: when you multiply or divide by a negative number, you must flip the direction of the inequality sign.
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Pro Tips
Isolate x just like in an equation.
Flip the sign (< to >) if dividing by a negative.
Identify the open or closed interval for the solution.
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Fun Facts
"Inequalities are fundamental in optimization problems (Linear Programming)."
"The symbols < and > were introduced by Thomas Harriot in 1631."
Formula: ax + b < c \implies x < (c-b)/a \text{ (if a > 0)}
