Intervals and Notations
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.
 (a, b)

[a, b]

[a, b)

None of the above

a
b
Express the interval as an inequality.

x: a → b

x≥a

x≤b

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

x≥a and x≥b

{a,b}

 a≤x≤b

None of the above

b
Express the interval as an inequality.

a≤x≤b

x≤b

None of the above

 x≥a
a
b
Express the interval (5, ∞) in set builder notation.

5<x<∞

 {x&#124;x>5}

 {x&#124;x≥5}

{5<x<8}

Express the interval below in set builder notation.
-5
 {x&#124;-5<x≤8}

-5<x≤8

(-5, 8]

None of the above

8
Express the inequality 6≤x in interval notation.

(-6)

(-∞,6)

(-∞,6]

None of the above

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

(3,7)

[3,7)

[3,7]

a)
c)
Graph the interval x>6.
6
6
6
 a

 b

c

d

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

a and b

 a and c

a and d

None of the above

7
7
]
d)
b)
3
3
7
7
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