Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you're looking for. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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

Sagot :

Abidemiokinidn

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
Adioabiolaidn

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
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.