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3 > 9-(1)/(2)x
What values of 
x satisfy the inequality?
Choose 1 answer:
(A) 
x < 12
(B) 
x > 12
(C) 
x < 24
(D) 
x > 24

3>9-\frac{1}{2} x \newlineWhat values of x x satisfy the inequality?\newlineChoose 11 answer:\newline(A) x<12 \newline(B) x>12 \newline(C) x<24 \newline(D) x>24

Full solution

Q. 3>912x 3>9-\frac{1}{2} x \newlineWhat values of x x satisfy the inequality?\newlineChoose 11 answer:\newline(A) x<12 x<12 \newline(B) x>12 x>12 \newline(C) x<24 x<24 \newline(D) x>24 x>24
  1. Write Inequality: Write down the inequality.\newline3 > 9 - \frac{1}{2}x\newlineWe need to isolate xx to solve for it.
  2. Subtract 99: Subtract 99 from both sides to start isolating xx.\newline3 - 9 > 9 - 9 - \frac{1}{2}x\newline-6 > -\frac{1}{2}x
  3. Multiply by 2-2: Multiply both sides by 2-2 to solve for xx. Remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign.\newline-2 \times -6 < -2 \times -\left(\frac{1}{2}\right)x\newline12 < x
  4. Rewrite Inequality: Rewrite the inequality in a more conventional way.\newlinex > 12

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