Which of the following is an equivalent form of the compound inequality −22 −5x − 7 greater than or equal to −3? −5x − 7 −22 and −5x − 7 greater than or equal to −3 −5x −22 and −7 greater than or equal to −3 −5x − 7

Question

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 greater than or equal to −3? −5x − 7 < −22 and −5x − 7 greater than or equal to −3 −5x − 7 > −22 and −5x − 7 greater than or equal to −3 −5x > −22 and −7 greater than or equal to −3 −5x − 7 < −22 and −5x − 7 less than or greater to −3

anonymous · Answer

A compound inequality has two parts... with the common portion in the middle.  Here, the middle portion is (-5x - 7):

−22 > (−5x − 7) greater than or equal to −3

Part 1:   −22 > −5x − 7
Part 2:   -5x - 7 greater than or equal to −3

anonymous · Answer

So,  you just carefully compare each answer choice to make sure everything matches up to those two parts.

anonymous · Answer

wouldn't iht D then?

anonymous · Answer

The second half of D makes it wrong...  here's why.

"−5x − 7 less than or greater to −3 "

-5x - 7  isn't supposed to be "less than or greater to..." -3.  The original problem said that -5x - 7 was "greater than or equal to −3"  Similar words, but different.

anonymous · Answer

Take a look at A, and compare each part to the original question.

anonymous · Answer

It looks to me like the statement in answer A is the same as in the problem, although I didn't want to rush it :)  The wording on these is confusing on purpose, and it's easy to misread an answer and miss the question.

anonymous · Answer

OK I GET IT NOW THANX!

anonymous · Answer

you're welcome :)  Glad to help :)