Question

The sentence, six less than the product of four and a number is less than 0.5 times the opposite of the number, translates to which mathematical statement?

A. 4n - 6=-0.5n
C. 4n-6<-0.5n
B. 6-4n<
D. 6 - 4n >​

Answer 1

C)

`4n-6<-0.5n`

Explanation:

#we first write the first part of the equation.

-let the unknown number be n

-six less than the product of four = 4n-6

#We then write the second part of the number

-The opposite of a positive number is equal to negative 1 times that number.

-0.5 times the opposite of the number

=>
`0.5* (-n)=-0.5n`

#we equate the two sides as:

4n-0.6<- 0.5n