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- = n

a) False

b) False

Step-by-step explanation:

We are given the following information:

Z is a set of all integers, is a set of all positive integers and   is a set of all negative integers.

Q is a set of all rational numbers, is a set of all positive rational numbers and is a set of all negative rational numbers.

N is a set of all natural numbers.

a) False

We will show this with the help of a counter example.

which is a rational number and not an integer.

b) False

We will show this with the help of a counter example.

which is a rational number and not a natural number.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°