Question

How do you solve `-2(x-3)<-10`?

Answer 1

`x>8`

Explanation:

`"distribute left side"`

`-2x+6< -10`

`-2x< -16`

`"divide both sides by "-2`

`color(blue)"Reversing the inequality sign as a consequence"`

`x>8" is the solution"`

`(8,+oo)larrcolor(blue)"in interval notation"`

Answer 2

`x>8`

Explanation:

Let's start by distributing the `-2` to the parenthesis. Doing this, we will get

`-2x+6<-10`

Remember, we want to isolate the `x` term. We can start to do this by subtracting `6` from both sides to get

`-2x<-16`

Next, we divide both sides by `-2`. Recall that since we are multiplying or dividing by a negative, the sign of the inequality flips.

We get

`x>8`

Hope this helps!