Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Solve for x and graph the solution on the number line below.
- 4x – 2 < -6 and - 4x – 2 > -42


Sagot :

The solution to the system of inequality expression is 1 < x < 10

Inequality expressions are expressions not separated by an equal sign

Given the inequality expressions

- 4x – 2 < -6 and - 4x – 2 > -42

For the inequality - 4x – 2 < -6

- 4x – 2 + 2 < -6 + 2

-4x < -4

x > 1

For the inequality  - 4x – 2 > -42

- 4x – 2 + 2> -42 +2

-4x > -40

x < 10

Combining both inequality solutions:

1 < x < 10

Hence the solution to the system of inequality expression is 1 < x < 10

Representing on the number line we have:

Learn more here: https://brainly.com/question/6874464

View image abidemiokin

The general solution of the pair of equations:

- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10

By solving the first inequality;

  • -4x - 2 < -6

  • -4x < -4

By dividing both sides by -4, we have;

x > 1

Subsequently, by solving the second inequality;

  • - 4x – 2 > -42
  • -4x > -40

By dividing both sides by -4, we have;

x < 10

Therefore, the inequality that satisfies both equations is;

1 < x > 10

The image attached contains the solution on the number line.

Read more:

https://brainly.com/question/18329661

View image adioabiola
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.