How do you use inequality notation to describe all the x in the interval (-2,4]?

1 Answer
Shwetank Mauria
Jun 22, 2016

We can write this as #-2 < x <= 4#

Explanation:

The symbol ( in the interval #(-2,4]# means that #x# cannot take value #-2# and symbol ] means that #x# can take value #4#.

Hence, #(-2,4]# means though #x# can take all values between #-2# and #4#, while #x# can the value #4#, it cannot take the value #-2#.

Hence we can write this as #-2 < x <= 4#

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