__4.2 Quantifiers ‘All’ and ‘Some’__**Statement using ‘All’ and ‘Some’**

**1. Quantifiers**are words that denote the number of objects or cases

referred to in a given statement.

**2.**Quantifier ‘

**all**’, ‘

**any**’ and ‘

**every**’ describe

**each and every**object or

case.

**3.**Quantifier ‘

**some**’, ‘

**several**’ and ‘

**part of**’ describe

**one or more**

**objects or cases.**

**Example:**

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

**(a)**_______ polygons have the same number of vertices and sides.

**(b)**_______ multiples of 9 are even numbers.

**(c)**_______ of the whole numbers are divisible by 7.

**(d)**_______ factors of 4 are factors of 20.

*Solution:***(a)**polygons have the same number of vertices and sides.

__All__**(b)**multiples of 9 are even numbers.

__Some__**(c)**of the whole numbers are divisible by 7.

__Some__**(d)**factors of 4 are factors of 20.

__All__