Question

The set {x ∈ R : 1 ≤ x < 2} can be written as ______________. Fill in the blanks

Answer 1

Given : The set {x:x∊R, 1≤x<2}

To Find : given set   can be written as​

Solution:

The set {x:x∊R, 1≤x<25}

[  a , b ]   means all the real number between a and b   and including a and b

where a < b

(  a , b )   means all the real number between a and b   and not including a and b , where a < b

[  a , b )   means all the real number between a and b   and including a but not including  b , where a < b

(  a , b  ]   means all the real number between a and b   and not including a but including b  , where a < b

Hence set {x:x∊R, 1≤x<2}

Here 1 is included but 5 is not included

and all real numbers between 1 and 5 are included

1 < 2

Hence  [1 , 2 )

The set {x:x∊R, 1≤x<2}   can be represented as    [1 , 2 )

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