Question

Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. (3 points) Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.

Answer 1

2x-4=5,
2x=5+4
2x=9
x=9/2

2x-4=-5
2x=-5+4
2x=-1
x=-1/2

Equation #1 has 2 solutions

|3x-4|= -12 has no solution cause |x|> or equal 0

⇒ Equation #1 has more solutions