Let A={1, 2, 3, 4}. Examine whether the statements given below are tru

1.	Let A={1, 2, 3, 4}. Examine whether the statements given below are true or false. (i) ∃ x∈A such that x+3=8. (ii) ∀ x∈A, x+2<7. (iii) ∃ x↔A such that x+1<3. (iv) ∀ x∈A, x+3≥5.
Answer» 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={1, 2, 3, 4}. Examine whether the statements given below are true or false. (i) ∃ x∈A such that x+3=8. (ii) ∀ x∈A, x+2<7. (iii) ∃ x↔A such that x+1<3. (iv) ∀ x∈A, x+3≥5.

Answer»

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