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Question 1151645: For the following compound inequality, give the solution set in both interval and graph forms.
x≥−5 or x≥6
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source):
Answer by ikleyn(52787)  (Show Source):
You can put this solution on YOUR website! .
The given system of inequalities is
x >= -5 or x >= 6.
Notice that the two inequalities are connected by the service word " or ".
It means that the solution to the system is THE UNION of the solutions to each partial inequality.
The solution for the inequality x >= -5 is the set [-5,oo).
The solution for the inequality x >= 6 is the set [6,oo).
The UNION of these sets is the interval [-5,oo), i.e. the set of all real number greater or equal to -5. ANSWER
My answer is the same as in the post by @MathLover1.
But she made 2 fatal errors in her post.
First, she write that the solution is the intersection of two partial subsets --- IT IS WRONG.
Second, instead of taking intersection, in her post she takes the union.
So, after making two fatal errors, she came to the correct answer.
It is why I came to warn you and to bring the correct solution.
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On solving systems of inequalities and compound inequalities, see the lessons
- Solving systems of linear inequalities in one unknown
- Solving compound inequalities
in this site.
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