What happens when you multiply each side of the inequality by a negitive number

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.

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

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step-by-step explanation: