__(A) Determine Whether a Given Sentence is a Statement__**1**. A statement is a sentence which is either true or false but not both.

**2**. Sentences which are questions, instructions and exclamations are not statements.

**Example 1:**

Determine whether the following sentences are statements or
not. Give a reason for your answer.

(a) 3 + 3 = 8

(b) A pentagon has 5 sides.

(c) Is 40 divisible by 3?

(d) Find the perimeter of a square with each side of 4cm.

(e) Help!

**Solution:**
(a) Statement; it is a false statement.

(b) Statement; it is a true statement.

(c) Not a statement; it is a question.

(d) Not a statement; it is an instruction.

(e) Not a statement; it is an exclamation.

__(B) Determine Whether a Statement is True or False.__

**Example 2:**

Determine whether each of the following statements is true
or false.

(a) 7 is a prime number

(b) -10 > -7

(c) 3 is a factor of 8.

**Solution:**
(a) True

(b) False

(c) False

**(C) Constructing Statements Using Numbers and Symbols**

**1**. True and false statements can be constructed with numbers and mathematical symbols.

**Example 3:**

Construct (i) a true statement, (ii) a false statement,

using the following numbers and mathematical symbols.

(a) 2, 4, 8, ×, =

(b) {a, b, c}, {d} , U =

**Solution:**
(a)(i) A true statement: 2 × 4 = 8

(a)(ii) A false statement: 2 × 8 = 4

(b)(i) A true statement: {d} U {a, b, c} = {a, b, c, d}

(b)(ii) A false statement: {d} U {a, b, c} = {d}