Question

How do you solve `-12<6+2a<8`?

Answer 1

`-9 < a < 1.`

Explanation:

Given that `-12<6+2a<8`

Adding `-6`, `-12-6<-6+6+2a<-6+8,` i.e., `-18<2a<2.`

Now we multiply the inequality by`1/2,` noting that `1/2` being `+ve`, its order will not be changed.

Hence, `-18*1/2<2a*1/2<2*1/2, rArr -9 < a < 1.`,