Answer:
What happens when you multiply each side of the inequality by a negative number?
Much like when you divide by a negative number, the sign of the inequality must flip. When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!
Does the inequality sign change when multiplying by a negative?
Because we are multiplying by a negative number, the inequalities change direction.
What is the rule for negatives and inequalities?
If a < b and if c is a negative number, then a · c > b · c. Multiplying each side of an inequality by a negative number reverses the direction of the inequality symbol. Dividing each side of an inequality by a negative number reverses the direction of the inequality symbol.
Examples of inequality by a negative number
3x < 7+3
Multiply (or divide) both sides by a negative number. Swapping left and right-hand sides.
