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The set of all real numbers a such that ...

The set of all real numbers `a` such that `a^2+2a ,2a+3,a n da^2+3a+8` are the sides of a triangle is_____

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`x=a^2+2a`
`y=2a+3`
`z=a^2+3a+8`
`x+y>Z`
`a^2+4a+3>a^2+3a+8`
`a>5`
`y+z>x`
`a^2+5a+11>a^2+2a`
...
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