Explain the differences between solving Absolute Value Equations and regular equations
Mathematics

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Explain the differences between solving Absolute Value Equations and regular equations.
How do I know when absolute value inequalities are "AND" or "OR" compound inequalities?
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Part A
The absolute value of any number suppose "x" is written as X and it is always positive.
An absolute value equation is the equation is written as y=x.
So we can say that y =+x or x,as on substituting negative or positive value of x the equation holds true.
Suppose,X=3 then on substituting x=3 or 3 we get 3 as same on the right side.
But in a regular equation is is not like that,for the above example x=3,it satisfies only one value of x that is 3 and not 3.
Part B
"AND" or "OR" compound inequalities
A compound inequality contains at least two inequalities that are separated by either "and" or "or".
The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > 1 and x < 2 or as 1 < x < 2.
The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < 1 or x > 2
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