Question

Which inequality represents the sentence below? Four and nine tenths less than the product of a number and six is no more than eighteen and one-eighth.

Answer 1

4 and 9/10 less than means minus 4 and 9/10
the product of a number and 6 means 6 times n
is no more than means eual to or less than
18 and 1/8

so
-4 and 9/10+6n≤18 and 1/8

Answer 2

Answer: Our inequality is given by

`6x-4(9)/(10)<18(1)/(8)`

Explanation:

Since we have given that

Four and nine tenths less than the product of a number and six is no more than eighteen and one-eighth.

Let the number be 'x'.

So, it becomes,

`6* x-4(9)/(10)<18(1)/(8)\\\\6x-(49)/(10)<(145)/(8)\\\\6x<(145)/(8)+(49)/(10)\\\\6x<(145* 5+49* 4)/(40)\\\\6x<(725+196)/(40)\\\\6x<(921)/(40)\\\\x<(921)/(6* 40)\\\\x<(921)/(240)`

Hence, our inequality is given by

`6x-4(9)/(10)<18(1)/(8)`