Answer:
6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.
Step-by-step explanation:
Question = 6x - 8 < 5x +21
so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5. so the first factor of 6 is 6 so:
(6 x 6) - 8 < (5 x 6) + 21
36 - 8 < 30 + 21
28 < 51
so x = 6
Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:
(6 x 30) - 8 is more than (5 x 30) + 21
180 - 8 is more than 150 + 21
172 is more than 171
hope that helps : )
Representing the problem using mathematical equation, the inequality which represents the scenario is n < 29
Let the number be represented as n :
6n - 8 < 5n + 21
We can then solve for n
6n - 5n < 21 + 8
n < 29
Therefore, the inequality expression which represents the possible values of n for which the expression is true is n < 29
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