Verifying the Solution to an Inequality ... by Substituting? by
Checking Boundaries? Date: 04/28/2010 at 22:02:02 From: J.C.
Subject: I'm confused with inequalities. 4 - 2/3b < 3 - 1/3b
verify? O.K. I am totally confused. I have to solve this
inequality, show my work, and then verify it: 4 - (2/3)b < 3 -
(1/3)b I think I somewhat understand how to solve it ... but I
have no idea how to verify it. Here's what I did: 4 - (2/3)b < 3
- (1/3)b Multiplied the fractions (2/3)b and (1/3)b by their
lowest common denominator (3) below 3(2/3b) = (6/3)b Simplified
6/3b = 2b 3(1/3b) = (3/3)b Simplified = 3(1/3b) = 1b 4 - 2b < 3
- 1b Substituted those simplified fractions 2b + 1b < 3 - 4
Transposed, by switching the sides of the expression 1b and the
quantity 4, and then changing their signs 3b < -1 3b / 3 < -1 /
3 Divided both sides by 3 b < -1/3 Normally with equations, to
verify the answer I just replace the variable with what I found
out the variable to be. For example, if I had to solve for x in
some equation, and fou