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which of the following is equivalent to $9 - 3x > 4(2x - 1)$? a. $13 < …

Question

which of the following is equivalent to $9 - 3x > 4(2x - 1)$?
a. $13 < 11x$
b. $13 > 11x$
c. $10 > 11x$
d. $6x > 0$

Explanation:

Step1: Expand the right side

Expand \(4(2x - 1)\) to get \(8x - 4\). So the inequality becomes \(9 - 3x > 8x - 4\).

Step2: Move all x terms to one side and constants to the other

Add \(3x\) to both sides: \(9 > 11x - 4\). Then add \(4\) to both sides: \(13 > 11x\).

Answer:

B. \(13 > 11x\)