MultiStep Inequalities
Key Questions

I would start with arranging terms so that all variables are on one side.
I hope that this was helpful.

Answer:
#There are generally 3 methods to solve inequalities
Explanation:
We can usually solve inequalities by 3 ways:
 By algebraic method
Example 1: Solve: 2x  7 < x  5
2x  x < 7  5
x < 2  By the numberline method.
Example 2. Solve#f(x) = x^2 + 2x  3 < 0#
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 =  3.
Replace x = 0 into f(x). We find f(0) =  3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: ( 3, 1)
  3 ++++++++ 0 ++++ 1 
3.By graphing method.
Example 2. Solve:#f(x) = x^2 + 2x  3 < 0# .
The graph of f(x) is an upward parabola (a > 0), that intersects the xaxis at x1 = 1 and x2 =  3. Inside the interval (3, 1), the parabola stays below the xaxis > f(x) < 0.
Therefor, the solution set is the open interval (3, 1)
graph{x^2 + 2x  3 [10, 10, 5, 5]}  By algebraic method

Suppose we're solving in
#\mathbb{R}# #0x=1 \Rightarrow S = \emptyset# #0x=0 \Rightarrow S = \mathbb{R}# 
Answer:
Inequalities are very tricky.
Explanation:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).
Questions
Linear Inequalities and Absolute Value

Inequality Expressions

Inequalities with Addition and Subtraction

Inequalities with Multiplication and Division

MultiStep Inequalities

Compound Inequalities

Applications with Inequalities

Absolute Value

Absolute Value Equations

Graphs of Absolute Value Equations

Absolute Value Inequalities

Linear Inequalities in Two Variables

Theoretical and Experimental Probability