Give+an+example+of+an+equation+that+has+two+solutions. +What+statement+are+you+making+about+the+inside+expression+when+you+solve+this+absolute+value+equation?+Set3

[2x+3]=5

Answer:

2x+3=5 2x=2 x=1

2x+3= -5 2x= -8 x= -4

This is correct, but why? What statement //are// you making about the "inside" expression? What if you had something a little more elaborate, since here we are halfway through the year? What would it look like if we had something like ⎮x²+ 1⎮ = 5?

or

⎮ 2^x ⎮ = -2?

What would the solution be if you had ⎮x ⎮ = x ?