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."

the answer is 510

step-by-step explanation:

15 • 13 = 195

15 • 12 = 180

15 • 5 = 75

12 • 5 = 60

195 + 180 = 375

375 + 75 = 450

450 + 60 = 510