Question

What is the justification for each step in solving the inequality?

−5(4x+6)<−18x+6+4x

Select from the drop-down menus to correctly justify each step. *Answer choices are in parentheses*


−5(4x+6)<−18x+6+4x Given

−20x−30<−18x+6+4x (Combine like terms) (Distributive Property) (Subtraction Property of Order)

−20x−30<−14x+6 Combine like terms

−6x−30<6 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order)

−6x<36 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order)

x>−6 Division Property of Order

Answer 1

Let's solve your inequality step-by-step.
−5(4x+6)<−18x+6+4x
Step 1: Simplify both sides of the inequality.
−20x−30<−14x+6
Step 2: Add 14x to both sides.
−20x−30+14x<−14x+6+14x
−6x−30<6
Step 3: Add 30 to both sides.
−6x−30+30<6+30
−6x<36
Step 4: Divide both sides by -6.
−6x
−6
<
36
−6
x>−6

Answer:
x>−6

Answer 2

Explanation:

−5(4x 6)<−18x 6 4x given

−20x−30<−18x 6 4x distributive property

−20x−30<−14x 6 combine like terms

−6x−30<6 addition property of order

−6x < 36 addition property of order

x>−6 division property of order