Chapter 1: Q12. (page 37)

Define a variable and write an inequality for each problem. Then solve.
12. The product of 12 and a number is greater than 36.

Short Answer

Expert verified

Let the variable number be $x$

Inequality is $12 x > 36$

Solution is $x > 3$

Step by step solution

-Write an inequality

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

Thus, inequality is

$\begin{matrix} 12 \times x > 36 \\ 12 x > 36 \end{matrix}$

- Write properties of inequality

Properties of inequalities are written in following table:

- Simplify 12x>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

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

Thus, solution is $x > 3$

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Define a variable and write an inequality for each problem. Then solve.
12. The product of 12 and a number is greater than 36.

Short Answer

Step by step solution

-Write an inequality

- Write properties of inequality

- Simplify 12x>36

One App. One Place for Learning.

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Define a variable and write an inequality for each problem. Then solve.12. The product of 12 and a number is greater than 36.

Short Answer

Step by step solution

-Write an inequality

- Write properties of inequality

- Simplify 12x>36

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Decision Maths

Calculus

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem. Then solve.
12. The product of 12 and a number is greater than 36.