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If we know two inequalities for a number k, how should we combine them? Like ( k is greater than 2) and ( {k+6}{k-4} is greater than 0). What will be k ultimately?
Asked by drhimasingh | 23 Apr, 2020, 11:34: AM Expert Answer
The inequalities are given as follows:
k>2 ... (i) and (k+6)(k-4)>0 ... (ii)
The second inquality holds true when the factor are either both positive or both negative.
i.e. (k+6)>0 and (K-4)>0    or    (k+6)<0 and (k-4)<0
In the first case, k>-6 and k>4 which implies k>4
In the second case, k<-6 and k<4 which implies k<-6
From both the cases, we have k>4 or k<-6 Answered by Renu Varma | 23 Apr, 2020, 12:30: PM
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