Question

List all the pairs of integers with a product of - 42. Then find the pair whose sum is - 11

A. -3 and 14
B. 1 and 42
C. -2 and 21
D. 2 and -21
E. 1 and - 42
F. 7 and -6

Answer 1

The correct pair of integers with a product of -42 and a sum of -11 is (-3, 14).

Step-by-step explanation:

The question involves finding pairs of integers that have a product of -42 and then identifying the pair that has a sum of -11. To do this, we list all possible pairs and then calculate their sums.

• A pair of positive and negative integers with a product of -42 could be (1, -42) or (-1, 42).
• Similarly, possible pairs could be (2, -21), (-2, 21), (3, -14), (-3, 14), (6, -7), or (-6, 7).

Now, let's find the sum of each pair to determine which one equals -11:

• 1 + (-42) = -41
• -1 + 42 = 41
• 2 + (-21) = -19
• -2 + 21 = 19
• 3 + (-14) = -11
• -3 + 14 = 11
• 6 + (-7) = -1
• -6 + 7 = 1

From our calculations, the pair that has a sum of -11 is (3, -14). Therefore, the correct answer is -3 and 14.