Question

Which statement about the sum of a negative number and a positive number is true? Select two answers.

A. The sum must be positive.

B. The sum will be positive if the absolute value of the negative number is greater than the absolute value of the positive number.

C. The sum must be negative.

D. The sum must be zero.

E. The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

F. The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

Answer 1

E and F

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Answer 2

$\fontsize{18}{10}{\textup{\textbf{The correct statements are}}}\\\\\fontsize{14}{10}{\textup{\textbf{(E) The sum will be positive if the absolute value of the}}}\\\\\fontsize{14}{10}{\textup{\textbf{negative number is greater than the absolute value of the}}}\\\\\fontsize{14}{10}{\textup{\textbf{positive number.}}}$

$\fontsize{14}{10}{\textup{\textbf{(F) The sum will be zero if the absolute value of the}}}\\\\\fontsize{14}{10}{\textup{\textbf{negative number is equal the absolute value of the}}}\\\\\fontsize{14}{10}{\textup{\textbf{positive number.}}}$

Step-by-step explanation:  We are give to select two correct statements about the sum of a negative number and a positive number.

Let a be the negative number and b be the positive number.

(A) The sum must be positive.

Let a = -6  and  b = 2. Then,

a + b = -6 + 2 = -4, which is negative.

So, (A) is incorrect.

(B)  The sum will be positive if the absolute value of the negative number is greater than the absolute value of the positive number.

Let a = -5  and  b = 3. Then, absolute value of a = 5 > absolute value of b = 3.

But, a + b = - 5 + 3 = -2, which is negative.

So, (B) is incorrect.

(C) The sum must be negative.

Let a = -2  and  b = 3. Then, a + b = -2 + 3 = 1, which is positive.

So, (C) is incorrect.

(D) The sum must be zero.

Let a = -2 and b = 3. Then, a + b = -2 + 3 = 1 ≠ 0.

So, (D) is incorrect.

(E) The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

Let a = -3 and b = 1. Then, |a| =3  and  |b| = 1.

Then, a + b = -3 + 1 = -2, which is negative.

So, (E) is CORRECT.

(F)  The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

Let a = -2 and b = 2, so that |a| = |b| = 2.  

Then, a + b = -2 + 2 = 0.

So, (F) is CORRECT.

Thus, (E) and (F) are correct statements.

1.Which statement about the sum of a negative number and a positive number is true? Select two answers.

Leran more#

A.  The sum must be positive.

B.  The sum will be positive if the absolute value of the negative number is greater than the absolute value of the positive number.

C.  The sum must be negative.

D.  The sum must be zero.

E.  The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

F. The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

Link: https://brainly.com/question/13605572.