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Webex

In: Business and Management

Submitted By tuppa
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THE OPEN UNIVERSITY OF TANZANIA
FACULTY OF SCIENCE TECHNOLOGY AND ENVIRONMENTAL STUDIES

COURSE: OIT 112: COMPUTER MATHEMATICS 1
COURSE INSTRUCTOR: MR. TERENTIUS RUGUMIRA
ACADEMIC YEAR: ICT FIRST YEAR 2013/2014

STUDENT NAME: TUPPA JOHN DAVID

REFERENCE NO. DOD/13/0278

ACTIVITY 1 – SET BUILDER NOTATION

QN1. S = {-3,-2, -1, 0, 1, 2, 3 . . .}

Solution: Numbers listed are all Integers. So, x[pic] [pic] .

Integers start at – 3, but “ . . . “ shows the list

continues indefinitely to +∞. So, x ≥ -3

Therefore S = {x[pic] [pic] | x ≥ -3} ANSWER

QN2. S = {1, 2, 3, 4 . . . 99,100}

Solution: All numbers in set are Naturals.

Therefore: S = {x[pic] [pic] | 1≤ x ≤ 100} ANSWER

QN3. S = {1, 1/2, 1/3, 1/4 . . .}

Solution: Numbers are Rational.

“ . . . “shows numbers continues decreasing

indefinitely. So, x ≤ 1.

Therefore: S = {x[pic][pic] | x ≤ 1} ANSWER

QN4. S = {1, 3, 5, 7 . . .}

Solution: Numbers listed in S are Prime. So, x[pic]P.

Prime listed start at 1, but the “. . . shows the list

continues indefinitely to +∞. So, x ≥1.

Therefore: S = {x[pic]P | x ≥ 1} ANSWER

QN5. S = {. . . -30,-20, -10, 0, 10, 20, 30 . . .}

Solution: Numbers listed in S are Integers, so x[pic] [pic].

The “ . . . “Shows the list continues to – ∞ or +∞

So, x ≤ -30, and x ≥ 30

Therefore: S = {x[pic] [pic] | x ≤ -30 and x ≥ 30} ANSWER

QN6.

[pic]

Solution: x [pic]R, Green lines are solid lines. Open Circle at 7 means 7 is not included as part of the Inequality; so x< 7. Closed circle at 10, means 10 is included as part of Inequality; so x ≥ 10.

Therefore: S = {x [pic] [pic] | x < 7 or x ≥ 10} ANSWER

QN7. S = {x[pic]Z | x ≥ -2} U {x [pic] Z | x ≤ 4},

Solution: U means “union”. Let Set {x[pic]Z | x ≥ -2} = {-2, -1, 0, 1, 2, 3 . . .} {x [pic]Z | x ≤ 4} = {. . . 0, 1, 2, 3 4} Z = Set of integers. So {x[pic]Z | x ≥ -2} U {x [pic] Z | x ≤ 4} = Z

Therefore: Z = {. . . -2, -1, 0, 1, 2, 3, 4 . . .} ANSWER

END

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