The sum of two consecutive integers is at least 36. What is the least possible pair of integers? A. 16 and 17 B. 17 and 18 C. 19 and 20 D. 18 and 19

Respuesta :

It is D because 17+18 is 35 so too low and 19+20 is 39 which works, but 18+19 is 37 which also works but is the lowest numbers you can use which means they are answer

Inequalities help us to compare two unequal expressions. The pair of least possible pair of integers whose sum is greater than 36 is 18 and 19.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the first number be n, which means the second number will be (n+1).

We know that the sum of the two consecutive numbers must be at least 36. therefore, if the sum is greater than 36, that too will fulfill the condition. thus, the inequality can be written as,

[tex]n + (n+1)\geq 36[/tex]

Solving the inequality for the value of n,

[tex]n + (n+1)\geq 36\\n+n+1\geq 36\\2n \geq 36-1\\2n\geq 35\\n \geq 17.5[/tex]

As the inequality says the number n should be greater than 17.5, therefore, the pair of the number that whose sum is 36 are,

[tex]n = 17.5 \approx 18\\n +1 = 18+1 = 19[/tex]

Hence, the pair of least possible pair of integers whose sum is greater than 36 is 18 and 19.

Learn more about Inequality:

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