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-9 > 2x
Which of the following best describes the solutions to the inequality shown above?
Choose 1 answer:
(A) 
x < -(9)/(2)
(B) 
x > -(9)/(2)
(C) 
x < -(2)/(9)
(D) 
x > -(2)/(9)

-9>2 x \newlineWhich of the following best describes the solutions to the inequality shown above?\newlineChoose 11 answer:\newline(A) x<-\frac{9}{2} \newline(B) x>-\frac{9}{2} \newline(C) x<-\frac{2}{9} \newline(D) x>-\frac{2}{9}

Full solution

Q. 9>2x -9>2 x \newlineWhich of the following best describes the solutions to the inequality shown above?\newlineChoose 11 answer:\newline(A) x<92 x<-\frac{9}{2} \newline(B) x>92 x>-\frac{9}{2} \newline(C) x<29 x<-\frac{2}{9} \newline(D) x>29 x>-\frac{2}{9}
  1. Isolate variable by dividing: Isolate the variable xx by dividing both sides of the inequality by 22.\newline-9 > 2x\newlineDivide both sides by 22:\newline-\frac{9}{2} > \frac{2x}{2}\newline-4.5 > x
  2. Rewrite inequality with x on left: Rewrite the inequality in a more conventional form, where x is on the left.\newlinex < -4.5\newlineThis is equivalent to saying x is less than 4.5-4.5.
  3. Match solution to multiple-choice answers: Match the solution to the given multiple-choice answers.\newlineThe inequality x < -4.5 is equivalent to x < -\left(\frac{9}{2}\right), since 4.5-4.5 is the same as 92-\frac{9}{2} when expressed as a fraction.

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