Question

Select the inequality that models the problem.

The sum of two consecutive odd integers is at least 80.

A: n + n + 2 ≥ 80
B: n+ n + 2 > 80
C: n + n + 1 ≥ 80
D: n + n + 1 > 80

Answer 1

n + (n + 2) ≥ 80
  n + n + 2 ≥ 80
       2x + 2 ≥ 80
            - 2    - 2
             2x ≥ 78
              2      2
              x ≥ 39

The answer is A.

Answer 2

You can use the fact that the term "at least" means less than or equal to.

The inequality that models the given problem is given by

Option A: n + n + 2 ≥ 80

How to form the inequality that models the problem?

We can convert the descriptions to mathematical symbols.

There is sum of two consecutive odd integers.

Consecutive means near each other in numbers counting. Since they are odd, and consecutive, thus, with difference of 2.

Let first odd number be n, then other will be n+2

Their sum is n+n+2

It is at least 80 thus, 80 or bigger than that.

Thus,

n+n+2 ≥ 80

That symbol ≥ is called bigger or equal and it means left side is either bigger or equal to the right value.

Thus,

The inequality that models the given problem is given by

Option A: n + n + 2 ≥ 80

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