Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.
Equation 1 Equation 2
A. Equation #1 and Equation #2 have the same number of solutions.
B. Equation #1 has more solutions than equation #2.
C. Equation #1 has fewer solutions than equation #2.
D. None of the statements above describe the number of solutions to equations shown.
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For this problem, you are observing the nature of the solutions for each absolute value expression.
For the first expression, you have two solutions for x that give 5 since any value substituted for |2x - 4| always yields positive value.
For the second expression, you don't have the solutions since |3x - 4| is never positive.
Because of the wording for each statement, I am not sure which is the right answer, but I would say that "Equation #1 has more solutions than equation #2"