Answered

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

Verified Answer :

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:

                 \(-5x-7<-22\ and\ -5x-7\geq -3\)

Step-by-step explanation:

We are given a compound inequality as:

    \(-22>-5x-7\geq -3\)

The expression could also be written as:

First we take one of the inequality.

i.e.

\(-22>-5x-7\)

which is nothing but

\(-5x-7<-22\)

Then we take the other inequality as follows:

\(-5x-7\geq -3\)

                Hence, the answer is:

                   \(-5x-7<-22\ and\ -5x-7\geq -3\)

Related Questions