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negative flip
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
The inequality is maintained with the direction of the inequality unchanged.
The relation = , is less than, is greater than inequality sign
It helps to find a common denominator and multiply both sides of the inequality by this common denominator. That way, you have an inequality without fractions.