Question

The sum of two consecutive odd integers is at least 84. Find the least possible pair of integers.
(Points : 1)
n + n + 2 > 84
n + n + 2 ≥ 84
n + n + 1 > 84
n + n + 1 ≥ 84

Answer 1

`two consecutive odd integers`
can be written as
` (n-1) and (n+1) ` (where "n" is an even number)

Ergo, the sum of 2 odd integers can be written as:
two consecutive odd integers
`(n-1) + (n+1) `

and if we need this sum to be equal to at least 84, then we can say this:
`(n-1) + (n+1) `\(\normalsize\color{blue}{ \ge }\) `84`

now, all you need to do, is to solve for "n", and then plug the n value into "n-1" and "n+1" to find these 2 odd consecutive integers.

Answer 2

If you let the smaller number be \(\color{red}{n}\), the the larger number is \(\color{green}{n + 2}\).
Their sum is at least 84. that means the sum is 84 or more, which also means greater than or equal to 84.

\(\large \color{red} n +\color{green}{n + 2} \ge 84\)