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Find the intersection if possibleExpress your answer in interval notation

Find The Intersection If PossibleExpress Your Answer In Interval Notation class=

Sagot :

Solution:

The first set given as;

[tex][-9,-1)[/tex]

Then in list form, the set is;

[tex]\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace[/tex][tex]\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace[/tex]

Also, the second set given as;

[tex](-3,4)[/tex]

Then, in list form, the set is;

[tex]\lbrace-2,-1,0,1,2,3\rbrace[/tex]

The intersection of the two sets is;

[tex]\begin{gathered} \lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace\cap\lbrace-2,-1,0,1,2,3\rbrace=\lbrace-2\rbrace \\ \\ \text{ Note that there are some real numbers on the number line} \end{gathered}[/tex]

Thus, the solution in interval notation is;

[tex](-3,-1)[/tex]

ANSWER: (-3,-1)

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