The elements of the set nbsp-A-x- x - Z- nbsp-3-2 nbsp-x nbsp-11-2- are nbsp- - nbsp-Here- Z stands for the set of integers- -3- -2- -1- 0- 1- 2- 3- 4- 5-1- 0- 1- 2- 3- 4- 5- 6 nbsp- nbsp-1- 0- 1- 2- 3- 4- 5-2- -1- 0- 1- 2- 3- 4- 5

The correct option is C 1, 0, 1, 2, 3, 4, 5Given that A={x: x ∈ Z, 3/2 x 11/2}, where Z stands for the set of integers. Since 3/2 = 1.5 and 11/2 = 5.5, th ...

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Standard IX

Mathematics

Methods of Writing a Set

The elements ...

Question

The elements of the set $A = {x : x \in Z, - \frac{3}{2} < x < \frac{11}{2}}$ are ______ (Here, $Z$ stands for the set of integers).

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

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-1, 0, 1, 2, 3, 4, 5, 6

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

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

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Solution

The correct option is C -1, 0, 1, 2, 3, 4, 5
Given that $A = {x : x \in Z, - \frac{3}{2} < x < \frac{11}{2}},$ where $Z$ stands for the set of integers.

Since $- \frac{3}{2} = - 1.5$ and $\frac{11}{2} = 5.5,$ the integers lying between -1.5 and 5.5 are -1, 0, 1, 2, 3, 4, and 5.
Thus, the elements of set A are -1, 0, 1, 2, 3, 4, and 5.

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\begin{matrix} 4 & 9 \\ + 2 & 0 \end{matrix}

\begin{matrix}  \end{matrix} \begin{matrix} 1 & 3 & 5 \\ + 1 & 4 & 6 \end{matrix}

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The elements of the set A={x:x∈Z, −32<x<112} are ______ (Here, Z stands for the set of integers).

The correct option is C -1, 0, 1, 2, 3, 4, 5Given that A={x:x∈Z, −32<x<112}, where Z stands for the set of integers. Since −32=−1.5 and 112=5.5, the integers lying between -1.5 and 5.5 are -1, 0, 1, 2, 3, 4, and 5. Thus, the elements of set A are -1, 0, 1, 2, 3, 4, and 5.

The elements of the set $A = {x : x \in Z, - \frac{3}{2} < x < \frac{11}{2}}$ are ______ (Here, $Z$ stands for the set of integers).