solve the compund inequality

Mathematics
Tutor: None Selected Time limit: 1 Day

solve the compund inequality 8x – 2 > 4 or 3x + 6 < 12

Jun 4th, 2015

Thank you for the opportunity to help you with your question!

Solve each inequality seperatly:

8x - 2 > 4;     8x > 6;      x > 6/8;       x > 3/4

3x + 6 < 12;      3x < 6;      x < 2

Combine two answers:    3/4 < x < 2

Hope that helps.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 5th, 2015

thank you can you help with other questions

Jun 5th, 2015

Sure;  I'll do another for you.


Jun 5th, 2015
10x – 4 < 6 or 4x – 12 < 8


Jun 5th, 2015

Solve seperatley:

10x - 4 < 6;     10x < 10;     x < 1

4x - 12 < 8;      4x < 20;     x < 5

In this case, since it is an "or" statement, we go with the lest restrictive:   x < 5

Hope that helps.

Jun 5th, 2015


Jun 5th, 2015

4z + 6 >= -10;     4z >= -16;     z >= -4

-3z - 5 >= -17;    -3z >= -12;    z <= 4

Combine:    -4 <= z <= 4

Hope I have been of help.  This will need to be my last problem on this topic.

Jun 5th, 2015
For the next five problems, select the graph that fits the solution to the given absolute value equation or the given absolute value inequality.


Jun 5th, 2015

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