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i have to use interval notation and i’m stuck on it

I Have To Use Interval Notation And Im Stuck On It class=

Sagot :

Given two sets of real numbers:

[tex]\begin{gathered} D=\mleft\lbrace w\mright|w\ge4\} \\ E=\mleft\lbrace w\mright|w<8\} \end{gathered}[/tex]

we will write the given sets as intervals

so,

[tex]\begin{gathered} D=\lbrack4,\infty) \\ E=(-\infty,8) \end{gathered}[/tex]

The intersections and the union of the sets will be as follows:

[tex]\begin{gathered} D\cap E=\lbrack4,8) \\ \\ D\cup E=(-\infty,\infty) \end{gathered}[/tex]