MYP Standard Mathematics 6.1 Set Notation Questionbank

If ${A = \{x \mid x \in \mathbb{Z}^+, x \le 4\}}$ and ${B = \{1, 2, 3, 4\}}$, which of the following statements is FALSE?

True or False: For any two sets $A$ and $B$, if the mathematical statement $A \subseteq B$ is true, then for every element $x$, the condition $x \in A$ implies that $x \in B$.

$\{x \mid x = n^2, n \in \mathbb{N}, n < 5\}$

$\{x \mid x = n^2, n \in \mathbb{Z}^+, 1 \le n \le 5\}$

$\{x \mid x = n^2, n \in \mathbb{Z}, -5 \le n \le 5\}$

$\{x \mid x = 2n, n \in \mathbb{N}, 1 \le n \le 5\}$

$n(A) = 4$ and $n(B) = 2$

$n(A) = n(B) = 3$

$n(A) = 3$ and $n(B) = 1$

$n(A) = 3$ and $n(B) = 2$

The set of all humans currently alive on Earth

$\{x \mid x \in \mathbb{R}, x > 10\}$

$\{x \mid x \in \mathbb{Q}, 0 < x < 1\}$

The set of all multiples of 7