Expert: Richard J. Raridon - 10/11/2004

Question
The objection here is to tranform inequalities in order to solve them and im not understanding  it and ive asked other experts but they dont understand either so i hope you can, to do these you have to solve the problem till you come to an answer. To solve an inequality, you usually try to transform it into a simple equivilent inequality. whose solution set can be easily seen. Here are the 3 problems.

1. -6 is less than or equal to 3+x<4
2. 3x+1 is less than or equal to -2
3. [x-4]>3

Answer
You can add or subtract the same thing from both sides of an inequality without changing the result.
1. You can do it in two parts
-6 <= 3+x so -9 <= x
3+x < 4 so x < 1
combine them to get -9 <= x < 1
2. 3x+1 <= -2
3x <= -3 so x <= -1
3. Because of the absolute value, you have two solutions.
x > 7 and x <= 0