Question

(y) is an integer such that (5 + y) is less than (5 - y). Which of these is true about (y)? Explain.

a) (y > 0)
b) (y < 0)
c) (y = 0)

Answer 1

The integer (y) must be less than 0 for the inequality (5 + y) < (5 - y) to hold true. Adding y to both sides and then subtracting 5 from both sides of the inequality, we simplify it to 2y < 0, which means y < 0.

Step-by-step explanation:

The question asks for the nature of integer y when (5 + y) is less than (5 - y). To solve this, we set up the inequality:

5 + y < 5 - y

Adding y to both sides to get rid of y on the right side, we get:

5 + 2y < 5

Subtracting 5 from both sides to isolate the y term, we have:

2y < 0

Dividing both sides by 2 to solve for y, we obtain:

y < 0

This shows that (y) is an integer that is less than zero, which means the correct choice is (b) y < 0.