Chapter 1: Q44. (page 38)

Define a variable and write an inequality for each problem and then solve.
One more than product of $- 3$ and a numberis less than16.

Short Answer

Expert verified

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

The inequality is: $1 + (- 3 \times x) < 16$

Value of the number is $x < - 5$

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 multiplied to $- 3$ be $x$ .

As one more than the product is less than equal to 16.

So, the inequality is:

$1 + (- 3 \times x) < 16$

- Solve the inequality.

To simplify this inequality, use subtraction property and the division property.

$\begin{matrix} 1 + (- 3 \times x) < 16 \\ 1 - 3 x - 1 < 16 - 1 \\ - 3 x < 15 \\ x < - 5 \end{matrix}$

Therefore, the inequality is $1 + (- 3 \times x) < 16$ and the value of $x$ is $x < - 5$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Define a variable and write an inequality for each problem and then solve.
One more than product of $- 3$ and a numberis less than16.

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

Geometry

Decision Maths

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem and then solve.One more than product of -3and a numberis less than16.

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

Geometry

Decision Maths

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem and then solve.
One more than product of $- 3$ and a numberis less than16.