IDNLearn.com: Your trusted source for finding accurate and reliable answers. Find reliable solutions to your questions quickly and easily with help from our experienced experts.
1. The absolute value function takes any quantity and makes it positive, so it's impossible to have |3x + 7| < 0. There is no solution.
2. If b + 5 ≥ 0, then
|b + 5| = b + 5 = 2b - 9
b = 14
Otherwise, if b + 5 < 0, then
|b + 5| = -(b + 5) = 2b - 9
-b - 5 = 2b - 9
3b = -4
b = -4/3
However, this second solution is extraneous, since the left side is positive,
|-4/3 + 5| > 0
while the right side is negative,
2•(-4/3) - 9 = -8/3 - 9 < 0