Question

Solve for x: 3x − 2 > 5x + 10. (5 points)
1) x > 6

2) x −6

Answer 1

x < -6

Explanation:

I just took the test. When you are dividing by a negative variable, flip the sign.

Answer 2

`x<-6`

Explanation:

`3x-2>5x+10`

Add 2 to both sides

`3x-2+2>5x+10+2`

Simplify

`3x>5x+12`

Subtract
`5x` from both sides

`3x-5x>5x+12-5x`

Simplify

`-2x>12`

Multiply both sides by
`-1` (reverse the inequality)

`(-2x)(-1)<12(-1)`

Simplify

`2x<-12`

Divide both sides by
`2`

`(2x)/(2) <(-12)/(2)`

Divide the numbers:
`(2)/(2) =1`

`=x`

Divide the numbers:
`(-12)/(2)`

Apply fraction rule:
`(-a)/(b) =-(a)/(b)`

`=(12)/(2)`

Divide the numbers:
`(12)/(2) =6`

`=-6`

`x<-6`