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Chapter 1: Q46. (page 38)

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

9 less than a number is at most that same number divide by 2.

Short Answer

Expert verified

The inequality is:x-9鈮�x2

Value of the number is x鈮�18

Step by step solution

01

- Define the variable.

A variable is a term that is used to represent an unknown value.

02

- Write the inequality.

From given, let the number from which 9 is subtracted be x.

As the difference is at most that same number divided by 2.

So, the inequality is:

x-9鈮�x2

03

- Solve the inequality.

To simplify this inequality, use subtraction property and multiplication property.

x鈭�9鈮�x22x鈭�18鈮�x2x鈭�18鈭�2x鈮�x鈭�2x鈭�x鈮�鈭�18x鈮�18

Therefore, the inequality is x-9鈮�x2 and the value of x is x鈮�18.

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