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Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?
−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3

Respuesta :

jennysloan
I believe it is the first one. Just split the original into 2 pieces and treat the inequality sign as an equal sign, but pay attention to which number or numbers the inequality is opened and closed to

Answer:

The following which is an equivalent form of the compound inequality is:

                 [tex]-5x-7<-22\ and\ -5x-7\geq -3[/tex]

Step-by-step explanation:

We are given a compound inequality as:

    [tex]-22>-5x-7\geq -3[/tex]

The expression could also be written as:

First we take one of the inequality.

i.e.

[tex]-22>-5x-7[/tex]

which is nothing but

[tex]-5x-7<-22[/tex]

Then we take the other inequality as follows:

[tex]-5x-7\geq -3[/tex]

                Hence, the answer is:

                   [tex]-5x-7<-22\ and\ -5x-7\geq -3[/tex]

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