Question

Four times the cube of a number is less than the difference between forty and the number. Select the inequality that represents this relationship.

(4x)3 < 40 - x

4x3 < x - 40

(4x)3 < x - 40

4x3 < 40 - x

Answer 1

Step-by-step explanation:

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than .

Answer 2

`4x^3 < 40 - x`

Step-by-step explanation:

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by
`x^3` is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as
`x^3` is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than
`x^3`.

So, the inequality obtained can be written as
`4x^3 < 40 - x`