Chapter 1: Q42. (page 38)

Define a variable and write an inequality for each problem and then solve.
42. The product of a $- 4$ and a number is at least 35.

Short Answer

Expert verified

The inequality is: $- 4 \times x \geq 35$

Value of the number is $x \geq - 8.75$

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 $- 4$ be $x$ .

As the product is at least 35.

So, the inequality is:

$- 4 \times x \geq 35$

- Solve the inequality.

Simplify the inequality as shown below:

\begin{matrix} - 4 \times x \geq 35 \\ x \geq - \frac{35}{4} \\ x \geq - 8.75 \end{matrix}

Therefore, the inequality is $- 4 \times x \geq 35$ and the value of $x$ is $x \geq - 8.75$ .

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.
42. The product of a $- 4$ and a number is at least 35.

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

Geometry

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem and then solve.42. The product of a -4and a number is at least 35.

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

Geometry

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Define a variable and write an inequality for each problem and then solve.
42. The product of a $- 4$ and a number is at least 35.