Chapter 3: Q33. (page 146)

Write the verbal sentence as an inequality. Also, solve the equation
“A number divided by $- 3$ is less than $6$ .”

Short Answer

Expert verified

The equation is $\frac{x}{- 3} < 6$ and the solution of inequality is $x < - 18$ .

Step by step solution

Step -1 - Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

Step -2 – Find the inequality by explaining the statement

Here, The statement A number divided by $- 3$ is at most $6$ .

From the above, Let the number be x.

Then, according to statement of question, the inequality is $\frac{x}{- 3} < 6$ .

Step -3 – Finding the solution of equation for x

Now, The inequality is $\frac{x}{- 3} < 6$ .

Simply multiplying by $- 3$ , to both side of the equation,

$\begin{array}{l} \frac{x}{- 3} < 6 \\ \frac{x}{- 3} \times - 3 < 6 \times - 3 \\ x < - 18 \end{array}$

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Write the verbal sentence as an inequality. Also, solve the equation
“A number divided by $- 3$ is less than $6$ .”

Short Answer

Step by step solution

Step -1 - Apply the concept of linear equations

Step -2 – Find the inequality by explaining the statement

Step -3 – Finding the solution of equation for x

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Write the verbal sentence as an inequality. Also, solve the equation“A number divided by -3 is less than 6.”

Short Answer

Step by step solution

Step -1 - Apply the concept of linear equations

Step -2 – Find the inequality by explaining the statement

Step -3 – Finding the solution of equation for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Decision Maths

Geometry

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an inequality. Also, solve the equation
“A number divided by $- 3$ is less than $6$ .”