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GradeSet-builder form, Set-builder form

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Write the interval \[\left( {6,12} \right)\] in set builder form.

Describe the following set in set – builder form.

$A=\left\{ 1,2,3,4,5,6 \right\}.$

$A=\left\{ 1,2,3,4,5,6 \right\}.$

If $Q = \{ x:x = \dfrac{1}{y}$ , where $y \in N\} $, then

A) $0 \in Q$

B) $1 \in Q$

C) $2 \in Q$

D) $\dfrac{2}{3} \in Q$

A) $0 \in Q$

B) $1 \in Q$

C) $2 \in Q$

D) $\dfrac{2}{3} \in Q$

Illustrate the set \[\left\{ x:-3\le x<0\,\,or\,x>2;x\in R \right\}\] on a real number line.

Write the following sets using rule method:

(i) $A = \left\{ {3,6,9,12,15,......} \right\}$

(ii) $P = \left\{ {1,8,27,64,125} \right\}$

(i) $A = \left\{ {3,6,9,12,15,......} \right\}$

(ii) $P = \left\{ {1,8,27,64,125} \right\}$

Let $R = \{ (a,b):a,b \in N\;and\;b = a + 5,a < 4\} $. Find the domain and range of $R$.

Write $\left( -7,5 \right),\left[ -6,12 \right],\left( 3,7 \right],\left[ -16,6 \right)$ in set builder form.

How do you write x > -17 as a set notation and interval notation? \[\]

Write the following sets in set builder form:

A. \[P = \left\{ {\dfrac{1}{2},\dfrac{2}{3},\dfrac{3}{4},.........\dfrac{9}{{10}},} \right\}\]

B. $Q = \left\{ {0,1,8,27,64,125,216} \right\}$

C. $R = \left\{ { - 36, - 30, - 24,..........42} \right\}$

D. $A = \left\{ {2,4,6,8} \right\}$

E. $B = \left\{ {3,9,27,81} \right\}$

F. $C = \left\{ {1,4,9,16,25} \right\}$

A. \[P = \left\{ {\dfrac{1}{2},\dfrac{2}{3},\dfrac{3}{4},.........\dfrac{9}{{10}},} \right\}\]

B. $Q = \left\{ {0,1,8,27,64,125,216} \right\}$

C. $R = \left\{ { - 36, - 30, - 24,..........42} \right\}$

D. $A = \left\{ {2,4,6,8} \right\}$

E. $B = \left\{ {3,9,27,81} \right\}$

F. $C = \left\{ {1,4,9,16,25} \right\}$

Represent the following sets in the set builder form.

$(i)X = $ {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

$(ii)A = \left\{ {\dfrac{1}{1},\dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5}.......} \right\}$

$(i)X = $ {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

$(ii)A = \left\{ {\dfrac{1}{1},\dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5}.......} \right\}$

Write the set $C=\left\{ 2,4,8,16,32 \right\}$ in the set – builder form.

Write the following set in set – builder (Rule method) form: - \[{{B}_{5}}\] = {-5, -4, -3, -2, -1}.

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