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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 12x>36

Solution is x>3

Step by step solution

01

-Write an inequality

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

Thus, inequality is

12脳x>3612x>36

02

- Write properties of inequality

Properties of inequalities are written in following table:

03

- 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

12x>3612x12>3612x>3

Thus, solution is x>3

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