**Example 1**:

Complete each of the following statements using the
quantifiers ‘all’ or ‘some’ to make the statement true.

(a) _____ rectangles are squares.

(b) _____ prime numbers are odd numbers.

(c) _____ triangles have equal sides.

(d) _____ even numbers are divisible by 2.

**Answer**:

(a)

__Some__rectangles are squares.
(b)

__Some__prime numbers are odd numbers.
(c)

__Some__triangles have equal sides.
(d)

__All__even numbers are divisible by 2.**Example 2**:

Construct a true statement using the quantifier ‘all’ or ‘some’
for the given object and property.

(a) Object: multiples of 4

Property: can be divided exactly by 5

(b) Object: regular hexagon

Property: 6 equal sides

(c) Object: acute angles

Property: less than 90

^{o}

**Answer**:

(a) Some multiples of 4 can be divided exactly by 5.

(b) All regular hexagons
have 6 equal sides.

(c) All acute angles are less than 90

^{o}.