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Workbook

LINEAR EQUATIONS AND INEQUALITIES

Interval:

Closed Interval:

A   |x a x b x  ,   can be denoted as [a, b]

Half-Open Interval:

B   |x a x b x  ,   can be denoted as (a, b]

Half-Open Interval:

C   |x a x b x  ,   can be denoted as [a, b)

Open Interval:

D   |x a x b x  ,   can be denoted as (a, b)

Example 1: Fill in the blanks in the given table below.

Representation Type of the Representation of the Representation of the interval on the
of the interval interval interval in set form number line

{ : 7x     4,x R }
x
Open

Closed -5 2

[ 3,1) Half- open { : 3x    1,x R }
x

( 2,3] Half-open

A  x 7:  x  4  x R 
NOTE: Be careful B  x 7:  x  4  x Z  are different things. Discuss it!
C  x 7:  x  4  x N 

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