Let A -1-2-3-4- Examine whether the statements given below are true or false-i - x - A such that x -3-8ii - x - A - x -2-7iii - x - A such that x -1-3-iv - x - A - x -3 - 5

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Let A =1,2,3,...

Question

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

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

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.

X = {1, 2, 3, 4}

X

X

f = {(2, 3), (1, 4), (2, 1), (3, 2), (4, 4)}

Question 68

State whether the following statement is true or false:

If x and y are integers such that $x^{2} > y^{2}$ , then $x^{3} > y^{3}$

Question 68

State whether the following statement is true or false:

If x and y are integers such that $x^{2} > y^{2}$ , then $x^{3} > y^{3}$

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