sammy s.

asked • 09/09/16

Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -4<2(x-3)=4.

can someone please assist me and can you please provide a graph pic so I understand how to do this please

Kenneth S.

A true compound inequality has INEQUALITY symbols between the three parts (left, middle, right) but yours doesn't.
Assuming that the = sign should have been ≤... what you must do is to ISOLATE the variable in the middle part. This can be done by first dividing all 3 parts by 2, which knocks out the coefficient in the middle, leaving x-3. The second thing, then, is to add 3 to all 3 parts. Case closed. You have x trapped between two numbers on the number line!  Make a • for the right end, and an  o  for the left end!
 
Remember this stuff!
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09/09/16

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