# What is the difference between solving multi step equations and multi step inequalities?

Inequalities are very tricky.

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).

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The main difference between solving multi-step equations and multi-step inequalities lies in the nature of the solution sets. In equations, the goal is to find the value(s) of the variable(s) that make the equation true, while in inequalities, the goal is to find the range of values for the variable(s) that satisfy the given inequality. Additionally, the process for solving multi-step equations and multi-step inequalities is similar, involving the application of various algebraic operations to isolate the variable(s). However, when solving multi-step inequalities, it's important to keep track of the direction of the inequality symbol and adjust operations accordingly.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Calculate #x# in #3/(x^2-6x+8)-6/(x^2-16)<=0# ?
- How do you solve and write the following in interval notation: #20x + 28 <=4( 4x + 5) #?
- A weather forecast says that there is a 40% chance of rain today. How do you find the odds against rain?
- How do you solve #abs(1/5x-2)=4#?
- How do you solve #2x-3>6# or #x-1<-8#?

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