If A = {1, 2, 3, 4, 5}, then which of the fol | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Step $1$: Evaluate option $(A)$: $\exists x \in A$ such that $x + 4 \leq 9$. If $x = 1$, $1 + 4 = 5 \leq 9$, which is true.Step $2$: Evaluate opti

Vedclass · Accepted Answer

$\exists x \in A$, such that $x + 2 < 3$

Vedclass · Answer

(D) Step $1$: Evaluate option $(A)$: $\exists x \in A$ such that $x + 4 \leq 9$. If $x = 1$, $1 + 4 = 5 \leq 9$, which is true.Step $2$: Evaluate option $(B)$: $\exists x \in A$ such that $12 - x = 7$. This implies $x = 12 - 7 = 5$. Since $5 \in A$, this is true.Step $3$: Evaluate option $(C)$: $\forall x \in A, x + 3 \geq 4$. For $x = 1$, $1 + 3 = 4 \geq 4$. For $x = 5$, $5 + 3 = 8 \geq 4$. This holds for all $x \in A$, so it is true.Step $4$: Evaluate option $(D)$: $\exists x \in A$ such that $x + 2 < 3$. This implies $x < 1$. Since the smallest element in $A$ is $1$, there is no $x \in A$ such that $x < 1$. Thus, this statement is false.

If $A = \{1, 2, 3, 4, 5\}$, then which of the following statements is not true?

Similar Questions

If $A = \{ \phi, \{ \phi \} \}$,then the power set of set $A$ is:

Examine whether the following statement is true or false:
$\{a\} \subset \{a, b, c\}$

If $A = \{1, 2, 3, 4, 5, 6\}$, then which of the following is not true?

The set $\{n(n+1)(2n+1) : n \in \mathbb{Z}\}$ is a subset of:

If $A \cap B = B$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module