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Workbook

From looking at the number line a b is the same as b a .

The symbols ,   , and  are called inequality signs.
,
The expressions: a b , a b , a b , a b and a b     are called inequalities.

Example 1: Fill in the blank with the appropriate inequality symbol:  or .

4

a)  2........ 5 b) ........ 3 c)  1.3 ........  2.8
7 5

Example 2: The following chart defines the ranges for normal blood pressure, high normal blood
pressure and high blood pressure (hypertension). All values are measured in millimeters of mercury,
mmHg.

(A millimeter of mercury is a manometric unit of pressure, formerly defined as the extra pressure
generated by a column of mercury one millimeter high. It is denoted by the symbol "mmHg".)

Normal Systolic less than 130 Diastolic less than 85

High Normal Systolic 130-139, inclusive Diastolic 85-89, inclusive

Hypertension Systolic 140 or greater Diastolic 90 or greater

Write an inequality using the variable p that represents each condition.

a) Normal systolic blood pressure

b) Diastolic pressure in hypertension

c) High normal range for systolic pressure
d) Systolic pressure in hypertension

EXERCISES 2
1) Graph the sets and express each set in interval notation.
a) x x 3  b) x x 3  c) y y    2

d) x  2,5 x 4,5   e) x  6 x   0 f) All real numbers less than 4

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