One-Variable Inequalities | Naruhodo Tutoring

Input

Enter coefficients for ax + b ◇ c

x +

sign

Enter coefficients for ax + b ◇ cx + d

x +

sign

x +

Enter any linear inequality

Supports integer/decimal coefficients, +/−, and parentheses distribution.

Examples

Solution

Enter an inequality and press Solve to see the solution.

Solving Linear Inequalities

Solve inequalities the same way you solve equations — but with one critical rule:

Add or subtract any number from both sides — sign stays the same.
Multiply or divide both sides by a positive number — sign stays the same.
Multiply or divide both sides by a negative number — FLIP the inequality sign!

Example: −2x > 6 → divide both sides by −2 → x < −3 (sign flipped!)

Interval Notation Guide

Use parentheses for strict inequalities, brackets for inclusive:

Always use ( ) with −∞ and ∞ — infinity is never reached, so it's never included.

Work one-on-one with a patient tutor who breaks every step down clearly — at your pace, on your schedule.