Question

Solve this compound inequality 3x < -6 or 7x > 56

Answer 1

x < -3 or x > 8 is the answer.

Explanation:

We have given a compound inequality :

3x < -6 or 7x > 56

We have to solve it.

Firstly, we solve the inequality:

3x < -6

x < -6/3

x < -3

Then we solve the second inequality:

7x > 56

x > 56/7

x > 8

So, the solution of compound inequality is:

x < -3 or x > 8 is the answer.

Answer 2

`x<-2` and
`x>8`

Explanation:

Solving the first inequality:

`3x<-6\\x<(-6)/(3)\\x<-2`

Solving the second inequality:

`7x>56\\x>(56)/(7)\\x>8`

So the first inequality tells us that x is any value less than -2, and

the second inequality tells us that x is any value greater than 8

So the answer is
`x<-2` and
`x>8`