Home > Algebra > Problem-Solving Models

The sum of four consecutive integers is -42. What are the integers?

Answer 1

Genesis Allen

The integers are # -12, -11, -10, -9#

Recall: Consecutive numbers follow each other and are separated by 1 each time, [Like 13, 14, 15, 16, 17 ...]

Let the four integers be #x, x+1, x+2, x+3#

Their sum is -42. Form an equation to show this.

#x+x+1+x+2+x+3 = -42" "larr# now simplify

#4x+6 = -42" "larr# now solve the eqution

#4x = -42-6#

#4x = -48#

#x = -48/4#

#x =-12" "larr# this is the smallest of the integers,

The integers are # -12, -11, -10, -9#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

The integers are -11, -10, -9, and -12.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.