Question

How to solve -6<-2x<14

Answer 1

Answer:

$\underline{\bold{3>x>-7}}$

Step-by-step explanation:

$-6 < -2x < 14$

We're trying to solve for $x$. To solve for $x$, we must isolate $x$.

So, let's divide everything by -2.

$\dfrac{-6}{-2} < \dfrac{-2x}{-2} < \dfrac{14}{-2}$

**Remember: When dividing by a negative number, you must switch the sign. So, if the sign is "$>$" then we switch it to "$<$" and the other way around **

$3>x>-7$

So, our answer is : $\underline{\bold{3>x>-7}}$

Answer 2

Answer:

3<x<-7

Step-by-step explanation:

-6<-2x<14

-6<-2x

both side divided by -2

3<x.......(1)

-2x<14

both side also divided by -2

x<-7.......(2)

according to both (1)&(2),we get

3<x<-7