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

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:

$x> -12$

Answer 2

Answer:

A.  x > 12

Step-by-step 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