Compare and contrast the solution of |2x + 3| > 9 and the solution of |4x + 6| > 18. a. the first absolute value equation has no solution, while the second equation does. b. the first absolute value equation has a solution, while the second one does not. c. both absolute value equations have the same solution d. neither absolute value equation has a solution.

I'd suggest attempting to solve both equations.

|2x + 3| > 9 can be simplified by dividing all terms by 2: |x + 3/2| > 9/2. The solution is centered at -3/2, and consists of x< (-3/2-9/2) and x> (-3/2+9/2), or

x< -12/2 ∪ x> 6/2, which reduces to x < 6 ∪ x > 3.

The solution set for |4x + 6| > 18 is found in the same way. Simplify this by dividing all three terms by 4, obtaining |x + 6/4| > 18/4, or |x + 3/2| > 9/2.

This is precisely the same result as that found for the previous inequality.

The correct response is "C. Both absolute value equations have the same solution."

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step-by-step explanation:

9-15%

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: