1-Revision Exit

Revision on sets is a well-defined collection of objects. Each object of a set is called a member or an element of the set. The set If X= { 1, 2, 5, 7 }, Y = { 2, 5, 9 } Then Put (,,, ): (a) 2……… X (b) 6………Y (c) Y……… X (d) { 2, 9 } …. Y

The set of Counting numbers = { 1, 2, 3, …………} The set of Natural numbers = { 0, 1, 2, 3, ………} I n the Venn diagram, U is the universal set. a)U = b) M = c) N = d) M \ = e) N \ = f) M U N = h) M – N = g) M ⋂ N = i) N – M = Answer Try Again

The set of Counting numbers = { 1, 2, 3, …………} The set of Natural numbers = { 0, 1, 2, 3, ………} In the Venn diagram, U is the universal set. a)U = { 2, 3, 4, 5, 6, 7, 8, 9 } b) M = { 3, 4, 7, 9 } c) N = { 4, 6, 7 } d) M \ = { 2, 5, 6, 8 } e) N \ = { 2, 3, 5, 8, 9 } f) M U N = { 3, 4, 6, 7, 9 } h) M – N = { 3, 9 } g) M ⋂ N = { 4, 7 } i) N – M = { 6 } Answer Try Again

a) 65…… ∉ …….. N b) 0 …… ∈ ……… N c) { 1, 2 }.... ⊂... N d) { 0 } …… ⊄..… N e) { 2.3, 4 }. ⊄... N f) 8.4 …… ∈ ……. N g) Ø ……. ⊂ ………N Mark (true ) or (false) such that N is the set of natural numbers : Conte nts T T F TF TF T T F TF F F

a) 65…… ∉ …….. N b) 0 …… ∈ ……… N c) { 1, 2 }.... ⊂... N d) { 0 } …… ⊄..… N e) { 2.3, 4 }. ⊄... N f) 8.4 …… ∈ ……. N g) Ø ……. ⊂ ………N Mark (true ) or (false) such that N is the set of natural numbers : Conte nts T T F TF T T T F TF F F F

N ⊂ Z, Z + ⊂ Z, Z - ⊂ Z, { 0 } ⊂ Z The Set of Positive Integers : Z + = { 1, 2, 3, 4, 5,... } The Set of Negative Integers : Z - = { -1, -2, -3, -4, -5,... } The Set of Integers : Z = {..., -3, -2, -1, 0, 1, 2, 3,... } Notice that :- Z= Z + U {0 }UZ - Z - Z - = N Z= N U Z - N – Z+ = {0} Z + ⋂ Z - = Ø Z ⋂ Z - =Z - Z ⋂ Z + = Z + Z ⋂ N = N Z + U N = N

Mark (true) or (false) and give the reason : (a) Zero ∈ Z - ( ) because :…………………………………… (b) φ = Z - ⋂ Z + ( ) because : …………………………………… (c) Z + ⋂ N = Z + ( ) because :…………………………………… (d) {-17} ⊂ Z ( ) because : …………………………………… Find the value of ( x ) to get a true statement : (a) -5 ∈ {-1, 0, -3, x} then ………………… (b) x ∈ {2, 5, -3} ∩ {5, -2, -3} then ………………… (c) {2, x} U {-4, 0, 4} = {0, -2, 2, -4, 4} then …………………

The absolute value of the integer The absolute value of the integer (a) is the distance between the location of (a) and the location of Zero on the number line. It is always positive and denoted by the symbol │a│ Find the absolute value of : 4, -4, 0, -8 the solution : l 4 l = 4, l-4l = 4, l 0 l = 0, l-8l = 8 Ex:1

Complete the following : (a)│-102 │= (b) - │-15 │ = (c) │-5 │+ │ 7 │ = (d) the relation between │b │, │-b │ is Ex:2 Write the inverse of each of the numbers : 113( ……………… ) -9 ( …………… ) 0 ( ……………… ) 7 ( …………… ). Ex:3 Answer Try Again

Complete the following : (a)│-102 │= 102 (b) - │-15 │ = - 15 (c) │-5 │+ │ 7 │ = 12 (d) the relation between │b │, │-b │ is Equal Ex:2 Write the inverse of each of the numbers : 113( ……………… ) -9 ( …………… ) ( ……………… ) 7 ( …………… ) Ex:3 Try Again Answer

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Ordering and Comparing Integers This means that : ……. -3 < -2 < -1 < 0 < 1 < 2 < 3 < … (ascending order). ….…. 3 > 2 > 1 > 0 > -1 > -2 > -3 … (descending order). Arrange the following numbers in an ascending order : -1, 3, 1, -5, 7 The ascending order is : -5, -1, 1, 3, 7 Put the correct sign (>, < or =) : (a)-7 -9 (b) (c) -4 0 (d) │-11 │ 11 (e) -7 - │-5 │ (f)

1-Arrange the following integers : (a)6, -60, 2, -17, -22, 0 (ascendingly). ……, ……., ……, ……., ……, ……. (b) 1, -11, 3, -1, -8, 5 (descendingly). ……, ……., ……, ……., ……, ……. 2-Complete the space using the correct sign (>, < or =) : (a)3 …. -6(b) -7 … 17(c) │ -13 │ …. 3 (d) │ -5 │ ….. 5(e) 3 + │ -3 │ …. 8(f) - │ -4 │ ….. 2

3- Write the previous integer and the next integer for each of the following integers : (a)…., -9, …. (b) …., 13, …. (c) …., 3, …. 4- Write the integers between each two integers of the following : (a)-4, ( ……. ), 2 (b) -1, ( ……. ), 5 (c) -7, ( ……. ), 0 5- Determine the Constant value by which the following integers increase, then complete the next three numbers : (a)-7, -6, -5, …., …., …. (b) -50, -40, -30, …,.…, …. Answer Try Again

3- Write t he p revious i nteger a nd the n ext i nteger f or e ach o f t he following i ntegers : (a)…., -9, …. (b) …., 13, …. (c) …., 3, … Write t he i ntegers b etween each t wo i ntegers o f t he following : (a)-4, ( ……. ), 2(b) -1, ( ……. ), 5(c) -7, ( ……. ), 0 -3,-2,-1,0,1 0,1,2,3,4 -6,-5,-4,-3,-2,-1 5- Determine t he C onstant v alue by w hich t he f ollowing i ntegers increase, t hen c omplete t he n ext three n umbers : -4, -3, -2 7, -6, -5, …., …., …. -20, -10, 0 (b) -50, -40, -30, …,.…, …. Answer Try Again

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