Mathematics: Suppose ℤ denotes the set of all integers, ℤ+ denotes the set of all positive integers, and ℤ− denotes the set of all negative integers. similarly ℝ denotes the set of all real numbers, ℝ+ denotes the set of all positive real numbers, and ℝ− denotes the set of all negative real numbers. suppose ℕ denotes the set of all natural numbers and ℚ denotes the set of all rational numbers. enter t for each true, and f for each false statements.(a) z / q = z(b) z / z- = z+

The first one is the right answer...

Suppose ℤ denotes the set of all integers, ℤ+

csorensen

06.01.2022

a) False

b) False

Step-by-step explanation:

We are given the following information in the question:

denotes the set of all integers.

Z^+ denotes the set of all positive integers.

Z^- denotes the set of all negative integers.

denotes the set of all rational numbers

a) False

We will give a counter example .

$\displaystyle\frac{Z}{Q}\\\\\displaystyle\frac{3}{\frac{2}{3}} = \displaystyle\frac{9}{2} \notin Z$

b) False

We will give a counter example .

$\displaystyle\frac{Z}{Z^-}\\\\\displaystyle\frac{3}{-3} = -1 \notin Z^+$

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