# CBSE Class 11-science Answered

**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

## Concept Videos

CBSE 11-science - Maths

Asked by youdhustu | 25 Jun, 2022, 01:48: PM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by youdhustu | 25 Jun, 2022, 12:10: PM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by drhimasingh | 23 Apr, 2020, 11:34: AM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 12 Oct, 2017, 09:28: AM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 12 Oct, 2017, 09:28: AM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 27 Apr, 2016, 08:23: AM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 30 Apr, 2014, 11:02: AM

ANSWERED BY EXPERT

CBSE 11-science - Maths

Asked by Topperlearning User | 30 Apr, 2014, 10:54: AM

ANSWERED BY EXPERT