Question

what is conjuction with examples

Answer 1

Answer :

Conjunction : These are the words which joins two sentences , phrases .

Example : But , Yet , and because etc....

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$hope \: it \: helps$

Answer 2

Answer:

$\huge \bold \red{conjunction}$

Explanation:

A conjunction is a statement formed by adding two statements with the connector AND. The symbol for conjunction is ‘∧’ which can be read as ‘and’. When two statements p and q are joined in a statement, the conjunction will be expressed symbolically as p∧q. If both the combining statements are true then this statement will be true otherwise, it is false.

Example 1: Let r: 5 be a rational number and s: 15 be a prime number. Is it a conjunction?

Solution:

Given that r: 5 is a rational number. This proposition is true.

s: 15 is a prime number. This proposition is false as 15 is a composite number.

Therefore, as per the truth table, r and s is a false statement.

So, r ∧ s = F

Example 2: Let a: x is greater than 9 and b: x be a prime number. Is it a conjunction?

Solution:

Since x is a variable whose value we don’t know. Let us define a range for a and b.

To find the range let us take certain values for x;

When x= 6: a is false so is b hence a ∧ b is false.

When x= 3: a is false but b is true. But still, a ∧ b is false.

When x= 10: a is true but b is false. But still, a ∧ b is false.

When x= 11: a is true and b is true. Hence, a ∧ b is true.

Hence the conjunction a and b is only true when x is a prime number greater than 9.

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