Multiplying by zero in inequalities is allowed, but division by zero is undefined. Inequalities do not always follow the same rules as equalities.
Multiplying both sides of a inequality by zero: When both sides of an inequality are multiplied by zero, the inequality still holds true. For example, if we have x > y and multiply both sides by 0, we get 0 > 0, which is a true statement.
Dividing both sides of an inequality by zero: Division by zero is undefined in mathematics, including in inequalities. You cannot divide both sides of an inequality by zero as it does not follow the rules of mathematics.
Do inequalities follow the same properties as equalities? Inequalities do not follow all the properties of equalities. For example, dividing by zero is undefined in inequalities but not in equalities.
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