If A-1-2-3-4- then number of statements from the below having truth value as true is1 - x - A such that x-3-8 2 - x- A-x-2 -7-3 - x - A such that x-1-3-4 - x - A- x-3- 5-

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If $A = {1, 2, 3, 4}$ , then number of statements from the below having truth value as true is
$(1) \exists x \in A$ such that $x + 3 = 8$
$(2) \forall x \in A, x + 2 < 7.$
$(3) \forall x \in A$ such that $x + 1 < 3.$
$(4) \forall x \in A, x + 3 \geq 5.$

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A = {1, 2, 3, 4} .

(1) \exists x \in A

x + 3 = 8

(2) \forall x \in A, x + 2 < 7.

(3) \forall x \in A

x + 1 < 3.

(4) \forall x \in A, x + 3 \geq 5.

Let $A = {1, 2, 3, 4} .$ Examine whether the statements given below are true or false.

(i) $\exists x \in A$ such that $x + 3 = 8.$

(ii) $\forall x \in A, x + 2 < 7.$

(iii) $\exists x \leftrightarrow A$ such that $x + 1 < 3.$

(iv) $\forall x \in A, x + 3 \geq 5.$

Let $A {2, 3, 5, 7} .$ Examine whether the statements given below are true or false.

(i) $\exists x \in A$ such that $x + 3 > 9.$

(ii) $\exists x \in A$ such that x is even.

(iii) $\exists x \in A$ such that $x + 2 = 6.$

(iv) $\forall x \in A, x$ is prime.

(v) $\forall x \in A, x + 2 < 10$

(vi) $\forall x \in A, x + 4 \geq 11$

g

\forall x > 0

g (1) = 1; g^{'} (x^{2}) = x^{3} \forall x > 0

g (4)

A = {1, 2, 3, 4}

A

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