Three consecutive integers add up to -6. What are the integers

Three consecutive means 3 numbers right next to each other.

So how we’re gonna do that.
Multiple ways.

Way #1, guess and check method

So the final result has to be -6.

Using common knowledge we know if we add a negative with a negative you’d get a smaller negative.

And also if you add negative that in which the number is greater then the positive number, then it’ll also be negative.

Positive + positive is impossible here so that already crossed out a ton of options.
Let’s explore the negative view perspectives.
Since -6 is a pretty easy integer, you can easily guess with small numbers.

First attempt: -1 + -2 + -3 = -6
There -1, -2, and -3.

Way #2, algebraically

So what is a consecutive integer.
It’s a number that comes after another so for example.

1, 2, 3

The pattern is + 1.
There has to be a base so we can do for example “x”.
x, x+1, x+2

There’s 3 consecutive integers.

If you replace x with any number, the numbers given should be consecutive.

So using that knowledge youc an solve for the interger needed here which is -6.
x + x+1 + x+2 = -6
Simplify and solve.

3x+3= -6
3x= -9

x= -3

So using that -3, we can subside into the expressions from before.
x, x+1, x+2

-3, -3 + 1, -3 +2
-3, -2, -1

They are consecutive.

-6, -5, -4

Step-by-step explanation:

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step-by-step explanation:

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