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.
−5(4x 6)<−18x 6 4x given
−20x−30<−18x 6 4x
−20x−30<−14x 6
−6x−30<6
−6x < 36
x>−6

Answer 1

−5(4x 6)<−18x + 6 + 4x (distributing the terms removing parenthesis)

−20x−30<−18x + 6 + 4x (adding similar terms)

−20x−30<−14x + 6 (adding both sides by +14x)

−6x−30<6 (adding both sides by 30)

−6x < 36 ( dividing both sides by -6; multiplying or dividing by a negative
term change the symbol)

x>−6 (displaying the result)

Answer 2

Took the test

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