Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Solve x/4>_-1 and -4x-4<_-3 and write the solution in interval notation. If there is no solution, type the no solution symbol.

Sagot :

varshamittal029

The solution interval for x is x ∈ (-1/4 , ∞)

An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.

Here, we are given two inequalities

x/4 > -1 and -4x - 4 < -3

Let us take the first equation

x/4 > -1

⇒ x > 4(-1)

x > -4

Now, the second equation

-4x - 4 < -3

-4x < -3 + 4

-4x < 1

Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,

x > 1/-4

x > -1/4

Thus, we get x > -4 and x > -1/4

This means that all values of x greater than -1/4 will satisfy.

Thus, x ∈ (-1/4 , ∞)

Learn more about inequalities here-

https://brainly.com/question/25275758

#SPJ9

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.