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Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 greater than or equal to −8?
−2x − 8 > −44 and −2x − 8 greater than or equal to −8
−2x > −44 and −8 greater than or equal to −8
−2x − 8 < −44 and −2x − 8 less than or greater to −8
−2x − 8 < −44 and −2x − 8 greater than or equal to −8
It is the last one becasue you are just breaking the initial inequality up. Can you see that -2x-8<-44 is the first part and -2x-8 greater than or equal to -8 is the second half of the inequality?
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well -44>-2x-8 greater than or equal to -8 is a compound of -2x-8<-44 and -2x-8 greater than or equal to -8. If you look, -2x-8<-44 and -2x-8 greater than or equal to -8, if -44 is greater than -2x-8 and -8 is greater than or equal to -2x-8 then they can combine to create the compound inequality −44 > −2x − 8 greater than or equal to −8.
You do not really "do work" to achieve the answer you just find the seperate parts of the compound equality. :)