SOLUTION: Three-fifths of a number is greater than two-thirds. Find the smallest integer that satisfies this inequality.

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Question 83093This question is from textbook introductory algebra
: Three-fifths of a number is greater than two-thirds. Find the smallest integer that satisfies this inequality. This question is from textbook introductory algebra

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
LET THE NUMBER BE "X".

Hence, the given number can be written as:

+%283%2F5%29x+%3E+%282%2F3%29

Here, we are supposed to find the integer that satifies the given inequality.

when mwe plug x = 1 in the above equation, we get the 0.6 > 0.667 which is not possible..

Hence, we plug in the next preceeding value.

Lets plug x = 2 in the above inequality.

%283%2F5%29%282%29+%3E+%282%2F3%29 Which gives us 1.2 > 0.667

Hence this satifies the given inequality.

When x = 3 then the value again changes. Hence, we get: 1.8 > 0.667 This again satisfies the inequality.

This shows us that as the value of x increases, the value on the left hand side keeps on increasing.. Hence, 2 would be the lowest minimum number that can be plugged for x.


Thus, the solution.

Regards