samkwakye039
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Find the truth set of 2x6<5(3-x), illustrate your answer on line​

Sagot :

Given:

The inequality is:

[tex]2\times 6<5(3-x)[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]2\times 6<5(3-x)[/tex]

It can be written as

[tex]12<15-5x[/tex]

[tex]12-15<-5x[/tex]

[tex]-3<-5x[/tex]

Divide both sides by 5 and change the sign of inequality.

[tex]\dfrac{-3}{-5}>x[/tex]

[tex]0.6>x[/tex]

It means all the values that are greater than 0.6 are in the solution set.

Since the value 0.6 is not included in the solution, therefore there is an open circle at 0.6.

The solution set of the given inequality on the number line is shown below:

View image erinna
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.