Question

The sum of two consecutive integers is at least 36. What is the least possible pair of integers? (Points : 1)


16 and 17
17 and 18
18 and 19
19 and 20

Answer 1

"At least' means : It can be that number and greater than that number too, \( \ge\)..

Answer 2

oh okay

Answer 3

Let the first number be \(x\), then its consecutive will be : \(x+1\)

Answer 4

So, according to question, their sum should be at least 36 ie : \(x + (x+1) \ge 36\)
\(2x + 1 \ge 36\)
\(2x \ge 36\)
\(x \ge 18\)..

Answer 5

so b?

Answer 6

@waterineyes

Answer 7

@Nnesha

Answer 8

yes @Nnesha here :)))

Answer 9

waterineyes already solved that
and like he said this sign mean greater than and equal to
so x >= 18 and other number should be equal or it should be greater than 18
so which one should be

Answer 10

b?

Answer 11

17 is bigger than 18 ???

Answer 12

no, c

Answer 13

yep right :)

Answer 14

thank you so so much

Answer 15

my pleasure :) :)

Answer 16

thanks to @waterineyes too
thanks water

Answer 17

Sorry, Electricity was not there and I was operating my pc on UPS.. And after some time UPS said, "I have given enough time to you for shut down, but now I will do it my way" :P

Answer 18

Question is : What is the least possible pair of integers?

You should be careful that "least possible pair" you have to find, it means the minimum possible value of \(x\), and as our \(x \ge 18\), In words, x can be \(18\) or greater than \(18\).. So, that is why we are taking \(x\) as \(18\) which is its least value.. Hence, \(18\) and \(19\)..

Answer 19

Strictly speaking, if in question, you find no word as "least possible pair", then \(c\) and \(d\), both will be your answer..

because \(d\) also satisfies the condition.. So, remember the difference.. :)

Answer 20

Thank @Nnesha for taking over... :)

Answer 21

*Thanks.. :)

Answer 22

no problem its my pleasure :)
@waterineyes