Question

What is the solution to
6(2 - x)<-4x + 2?

Answer 1

Solving
`6(2 - x)<-4x + 2` we get
`\mathbf{x>5}`

Explanation:

We need to find solution of
`6(2 - x)<-4x + 2`

Solving the inequality:

`6(2 - x)<-4x + 2`

Multiply 6 with terms inside the bracket

`12-6x<-4x+2`

Subtracting 12 on both sides

`12-6x-12<-4x+2-12\\-6x<-4x-10`

Adding 4x on both sides

`-6x+4x<-4x-10+4x\\-2x<-10`

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

`(-2x)/(-2)>(-10)/(-2)\\\mathbf{x>5}`

So, after solving
`6(2 - x)<-4x + 2` we get
`\mathbf{x>5}`