contestada

when 5 is subtracted from 3 times number the result greater than 6 .find the least whole number that satisfied the statement​

Respuesta :

Answer:

4

Step-by-step explanation:

Let x be a number.

The statement can be interpreted as:

  • 5 is subtracted from a number : x - 5
  • 3 times a number : 3x
  • A number is greater than 6 : x > 6
  • When 5 is subtracted from 3 times a number, the result is greater than 6 : 3x - 5 > 6

And then we simplify 3x - 5 > 6:

  • 3x - 5 > 6
  • 3x > 11
  • x > 11/3
  • x >  3.666...

To get the smallest whole number satisfying the inequality above, we can take the "ceiling" of 3.66 which is 4.

Note:

The ceiling of a number is the nearest integer (or in this case, nearest whole number) of a number. It can be denoted by ceil(x).

For example, the ceiling of 0.1 is 1. The ceiling of 5 is 5 since 5 itself is a integer.

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