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]`

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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)`

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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]`

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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]`

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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]`

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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=`

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This material is intended as a summary. Use your textbook for detail explanation.
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