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Intervals
Contributed by: Mohamed
(Original author: Nguyen)
Express the interval in interval notation.
]a, b]

]a, b[

(a, b)

[a, b]

a
b
Express the interval in interval notation.
a

]a, b[

 [a, b]

{a, b}

]a, b]

b
Express the interval in interval notation.∈R
 ]a, b[

[a, b]

[a, b[

None of the above

a
b
Express the interval as an inequality. x∈R

x: a → b

x≥a

x≤b

 a ≤ x < b
a
b
Express the interval as an inequality. x∈R
a

x≥a and x≥b

{a,b}

 a≤x≤b

None of the above

b
Express the interval as an inequality.∈R

a≤x≤b

x≤b

None of the above

 x≥a
a
b
Express the interval ]5, ∞[ in set builder notation.x∈R

x=5

 {x:x>5}

 {x:x≥5}

{5<x<8}

Express the interval below in set builder notation.x∈R
-5
 {x:-5<x≤8}

-5<x<8

[-5, 8]

None of the above

8
Express the inequality 6≤x in interval notation.x∈R

[6,∞[

]6,∞[

]-∞,6]

None of the above

Express the inequality 3<x≤7 in interval notation.x∈R
 ]3,7]

(3,7)

]3,7[

[3,7]

a)
c)
Graph the interval x>6     ,∈R
6
6
6
 a

 b

c

d

10
10
b)
d)
6
10
6
10
c)
a)
Graph the interval 3<x≤7    x∈ R
3
3

a

 b

c

d

7
7
d)
b)
3
3
7
7
b)    ] -3 , 6 [
c)    [1 , 4 ]
d)    [-3 , 1 ]
a)    [ -3 , 6 ]
X ⋃ Y = ...................
If : X= [-3 ,4] ,     Y = [1, 6]
  Then:
b)    ] -3 , 6 [
c)     [1 , 4 ]
d)  [-3 , 1 ]
a)    [ -3 , 6 ]
X Y = ...................
If : X= [-3 ,4] ,     Y = [1, 6]
  Then:
a)    [ -3 , 6 ]
b)    ] -3 , 1 ]
c)    [1 , 4 ]
d)   [-3 , 1 [
X - Y = ...................
If : X= [-3 ,4] ,     Y = [1, 6]
  Then:
If : X= ] -∞ ,4] ,   Y = [1, ∞[
a)    ] 1 , [
d)   [4 , [
b)    ] - , 1 ]
c)    R
X Y = ...................
  Then:
If : X= ] -∞ ,4] ,   Y = [1, ∞[
a)    [ 1 , 4 ]
d)   [4 , [
b)    ] - , 1 ]
c)    R
X Y = ...................
  Then:
If : X= ] -∞ ,4] ,   Y = [1, ∞[
a)    [ - , 1 ]
d)   [ 4 , [
b)    ] - , 1 [
c)    ] 1  , [
X - Y = ...................
  Then:
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