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: $x - 9 \leq \frac{x}{2}$

Value of the number is $x \leq 18$

Step by step solution

- Define the variable.

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

- 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:

$x - 9 \leq \frac{x}{2}$

- Solve the inequality.

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

$\begin{matrix} x - 9 \leq \frac{x}{2} \\ 2 x - 18 \leq x \\ 2 x - 18 - 2 x \leq x - 2 x \\ - x \geq - 18 \\ x \leq 18 \end{matrix}$

Therefore, the inequality is $x - 9 \leq \frac{x}{2}$ and the value of $x$ is $x \leq 18$ .

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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

Step by step solution

- Define the variable.

- Write the inequality.

- Solve the inequality.

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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

Step by step solution

- Define the variable.

- Write the inequality.

- Solve the inequality.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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.