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3 September, 16:04

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

+4
Answers (1)
  1. 3 September, 16:13
    0
    -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)
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