Question

Ni

Critique Patrick thinks that when a is a negative integer and b is a positive
below and decide whether they are true or false. For statements that are true, give
integer, each of the following statements is always true. Read the statements
an example to support Patrick's claim. For statements that are false, give a
counterexample.
a. 0-b is positive.
b.
b. b-a is positive.
100
60-(-6) is negative.
80

Answer 1

a.) a-b is positive. This is a false statement.

b.) b-a is positive. This is a true statement

c.) a-(-b) is negative. This is a false statement.

How to determine the statement that is true and false?

To determine the statement that is true or false, the following steps should be taken as follows:

Let's take a(negative integer ) = -1

Let's take b(positive integer) = +1

For statement a.)

a-b = -1-(+1) = -2. Therefore the statement is false.

For statement b.)

b-a = 1-(-1) = 2. Therefore, the statement is true.

For statement c.)

a-(-b)= -1-(-1) = -1+1= 0. Therefore the statement is false.

Answer 2

Explanation:

Patrick thinks that when 'a' is a negative integer and 'b' is a positive,

Let "a = -2" and "b = 3"

a). a - b is positive.

a - b = -2 - 3

= -5 {negative]

Therefore, statement is False.

(a - b) is negative.

b). b - a is positive.

b - a = 3 - (-2)

= 3 + 2

= 5 [Positive]

Statement is True.

c). a - (-b) is negative.

a - (-b) = a + b

= -2 + 3

= 1 [Positive]

False.

But it's true when a = -5 and b = 3

a - (-b) = -5 - 3

= -8 [Negative]