Q12. - Algebra 2

Question

Define a variable and write an inequality for each problem. Then solve.

12. The product of 12 and a number is greater than 36. 

Step-by-Step Solution

Answer

Let the variable number be $x$

Inequality is $12x>36$

Solution is $x>3$ 

Step 1 -Write an inequality

Let the number whose product with 12 is greater than 36 be $x$

Thus, inequality is 

$\begin{array}{c}12\times x>36\\ 12x>36\end{array}$

Step 2 - Write properties of inequality

Properties of inequalities are written in following table:

Step 3 - Simplify 12 x > 36

To simplify given inequality, use division property of inequalities. Divide both sides by same positive number does not reverse the sign of inequality as shown below

$\begin{array}{c}12x>36\\ \frac{12x}{12}>\frac{36}{12}\\ x>3\end{array}$

Thus, solution is  $x>3$