If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that:

The statement p is false and the statement q is true.

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The statement p is true and the statement q is not true

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The statement p is true and the statement q is false

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The statement p is true and the statement q is true

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Solution

The correct option is D
The statement p is true and the statement q is true

If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that “The statement p is true and the statement q is true”.

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Similar questions

Q. Statement

1

: If

\to A = 2^i + 3^j + 6^k, \to B =^i +^j - 2^k

and

\to C =^i + 2^j +^k

, then

| \to A \times (\to A \times (\to A \times \to B)) \cdot \to C | = 243

Statement

2

| \to A \times (\to A \times (\to A \times \to B)) \cdot \to C | = | \to A |^{2} | [\to A \to B \to C] |

Statement 1: A polynomial P(x) of degree greater than or equal to one, when divided by x – a, leaves a remainder zero.

Statement 2: x – a is a factor of the polynomial P(x).

Consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if $∠ A B D$ + $∠ C B D$ = $180^{\circ}$ .

Statement 2: The angle on a straight line is $180^{\circ}$ .

Statement - 1: Complexes containing three bidentate ligands do not show optical activity.
Statement - 2: Octahedral complex $[C o (N H_{3})_{4} C l_{2}] C l$ shows geometrical isomerism.

Q. Statement

- 1 :

x^{{log}_{x} (3 - x)^{2}} = 25

, then

x = - 2

Statement

- 2 :

a^{{log}_{a} x} = x

, if

a > 0, x > 0

and

a \neq 1

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If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that:

The correct option is D The statement p is true and the statement q is true If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that “The statement p is true and the statement q is true”.

The correct option is D
The statement p is true and the statement q is true

If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that “The statement p is true and the statement q is true”.