The sum of two consecutive even integers is -34. What is the smaller integer?

Answer 1

Eli Assouline

#-18,-16#

We know that an even number always takes the form of #2n,AAninZZ#. So the consecutive even number will be #2n+2#.

As a result, we have:

#2n+2n+2=-34#

#4n+2=-34#

#4n=-36#

#:.2n=-18,2n+2=-16#

Therefore the two consecutive even integers are #-18# and #-16#.

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

Answer 2

Eli Assouline

Let ( x ) be the smaller even integer. Then, the next consecutive even integer would be ( x + 2 ).

Given that the sum of these two integers is -34, we can write the equation:

[ x + (x + 2) = -34 ]

Solving for ( x ):

[ 2x + 2 = -34 ]

[ 2x = -36 ]

[ x = -18 ]

So, the smaller integer is -18.

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.