Question

Represent the given set in Roster form

A = {x: x is an integer, $\frac{-3}{2}$ < x < $\frac{11}{2}$}

• A. {-3,-2,-1, 0, 1, 2, 3, 4, 5}
• B. {-1, 0, 1, 2, 3, 4, 5,6}
• C. {-1, 0, 1, 2, 3, 4, 5}
• D. {-2,-1, 0, 1, 2, 3, 4, 5}

Answer 1

The correct option is C

{-1, 0, 1, 2, 3, 4, 5}

Given $A=\{x:x\text{is an integer,}\frac{-3}{2}<x<\frac{11}{2}\}$
$\Rightarrow$ A is a set of integers lying between $\frac{-3}{2}$ and $\frac{11}{2}$.

As we know $\frac{-3}{2}$= -1.5 and $\frac{11}{2}$ = 5.5

All integers between -1.5 & 5.5 are -1, 0, 1, 2, 3, 4, 5.
Hence $A=\{-1,0,1,2,3,4,5\}$