1. Examples
1. 3 <= x <= 7
Solution:
Solution set is `{3,4,5,6,7}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={3,4,5,6,7}`
2. Set Builder notation
`A={x | 3<="x"<=7}`
3. Interval notation
`A=[3,7]`
2. [2,8)
Solution:
Solution set is `{2,3,4,5,6,7}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={2,3,4,5,6,7}`
2. Set Builder notation
`A={x | 2 <=" x "< 8}`
3. Interval notation
`A=[2,8)`
3. x <= 5, x `in` N
Solution:
Solution set is `{1,2,3,4,5}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={1,2,3,4,5}`
2. Set Builder notation
`A={x | "x"<= 5,"x is "}`
3. Interval notation
`A=[1,5]`
4. 3 <= x <=7, x is odd
Solution:
Solution set is `{3,5,7}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={3,5,7}`
2. Set Builder notation
`A={x | 3<="x"<=7,"x is odd"}`
3. Interval notation
`A=`
5. x^2 <= 10, x `in` N
Solution:
Solution set is `{1,2,3}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={1,2,3}`
2. Set Builder notation
`A={x | "x^"2<= 10,"x is "}`
3. Interval notation
`A=[1,3]`
6. |x| <= 1, x `in` Z
Solution:
Solution set is `{-1,0,1}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={-1,0,1}`
2. Set Builder notation
`A={x | |"x"|<= 1,"x is "}`
3. Interval notation
`A=[-1,1]`
7. x^2-3x-4=0
Solution:
`x^2-3x-4=0`
`=>x^2-3x-4 = 0`
`=>x^2+x-4x-4 = 0`
`=>x(x+1)-4(x+1) = 0`
`=>(x+1)(x-4) = 0`
`=>(x+1) = 0" or "(x-4) = 0`
`=>x = -1" or "x = 4`
Solution set is `{-1,4}`
Roster notation, Set Builder notation and Interval notation of the given problem is
1. Roster notation (tabular form)
`A={-1,4}`
2. Set Builder notation
`A={x | "x^"2-3"x"-4=0}`
3. Interval notation
`A=`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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