Thank you for the opportunity to help you with your question!
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.
"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
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 29th, 2015
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