# How do you solve "Twelve less than the product of three and a number is less than 21" and graph the solution on a number line?

Jun 17, 2017

$x < 11$

#### Explanation:

Translate the english into maths, one phrase at a time:

Let the number be$x$

Thee product of $3$ and a number$\text{ "rarr" } 3 \times x = 3 x$

$12 \text{less than the product " rarr" } 3 x - 12$

$\text{is less than "21" "rarr" } 3 x - 12 < 21$

Solve for x

$3 x - 12 < 21$

$3 x < 21 + 12$

$3 x < 33$

$x < 11$

On a number line graph there will be an open circle on $11$ because it is not part of the solution, and a line to infinity to the left.