Difference between multiplication property of equality and inequality
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
For an equality, whether multiplying by a positive or a negative number, the equality is maintained.
For an inequality, multiplying (or dividing) by a negative number requires that the inequality sign be reversed. When multiplying (or dividing) by a positive number, the inequality sign remains as it was.