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If [x] represents the greatest integer l...

If [x] represents the greatest integer less than or equal to x, what is the solution to the equation `1-2[x]=-3` ?

A

`x=2`

B

`2 le x lt 3`

C

`2 lt x le 3`

D

`2 lt x lt 3`

Text Solution

Verified by Experts

The correct Answer is:
B
First solve for [x] :
`1-2[x]=-3`
`-2x]=-4`
`[x]=2`
[x] will equal 2 whenever `2 le x lt 3` .
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