If 9<15mx-8<27, where m is a positive constant, what is the possible range of values of 8/3 -5mx?
2 answers:
<h2>
Answer:</h2>
The possible range of is:
(-9,-3) i.e.
<h2>
Step-by-step explanation:</h2>
We are given a set of inequalities of the form:
Now when we divide all of the inequality by 3 we get that:
Now when we multiply the inequality by -1 then the sign of the inequality gets interchanged.
i.e.
i.e.
Hence, the possible range of is:
(-9,-3) i.e. between -9 and -3 with -9 and -3 excluded from the range.
9<15mx-8<27
Divide the all by 3
3<5mx-8/3<9
After that times all by -1
-3<8/3-5mx<-9
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