Set is a sum of two intervals :(1,4) u [2,6] In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6 We can write it as 1<x ≤ 6 summing both sets we have one set: (1,6] so a) represent our set b) also represent because all numbers between 4-6 and 6 are in our set c)also represent, all numbers are in main set d)also represent
( 1 ; 4 ) ∪ [ 2 ; 6 ] = ( 1 ; 6 ] A n s w er : A .
The set ( 1 , 4 ) ∪ [ 2 , 6 ] represents the interval ( 1 , 6 ] . Therefore, the chosen multiple choice option is A. ( 1 , 6 ] .
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