Question

Eight less than four times a number is less than 56. What are the possible values of that number?

Ox> 12
x <12
x <16
Ox>16

Answer 1

A. x > 12

Explanation:

Eight less than four times a number is less than 56. What are the possible values of that number?

x less-than 12

x greater-than 12

x less-than 16

x greater-than 16

Answer 2

For this case we can algebraically rewrite the expression given as:

`8-4x <56`

Where:

x: Represents the unknown number

Subtracting 8 from both sides of the inequality we have:

`-4x <56-8\\-4x <48`

Dividing between 4 on both sides of the inequality:

`-x <\frac {48} {4}\\-x <12`

We multiply by -1 on both sides taking into account that the sense of inequality changes:

`x> -12`

ANswer:

`x> -12`