Question

Solve the inequality: 2x – 3 > 6x – 2
Enter your answer as an inequality, such as a < x.​

Answer 1

-1/4 > x

Explanation:

2x – 3 > 6x – 2

Subtract 2x from each side

2x-2x – 3 > 6x -2x – 2

-3 > 4x -2

Add 2 to each side

-3+2 > 4x

-1 > 4x

Divide by 4

-1/4 > 4x/4

-1/4 > x

Answer 2

`x<-(1)/(4)\text{ or } x<-0.25`

Explanation:

So we want to solve the inequality:

`2x-3>6x-2`

First, subtract 6x from both sides. The right cancels:

`-4x-3>-2`

Add 3 to both sides:

`-4x>1`

Divide both sides by -4. Since we're dividing by a negative, the sign flips. Thus:

`x<-(1)/(4)`

And we're done!