Question

How do you solve `7u - 35< - 4( 2- 4u )`?

Answer 1

`u> -3`

Explanation:

First, we'd want to distribute the `-4` to the numbers within the parentheses.

`-4(2-4u) =`
`-4*2` and `-4*-4u=`
`-8+16u`

Now, we have `7u-35<-8+16u`.

We'd want to isolate the variable, by having it on only one side of the equation.

We'd subtract the `16u` to the left side, and add the `-35` to the right side.

`7u-16u<-8+35`

We'd then solve.
`-9u<27`

We'd then simplify the `u` down to it's simplest form, so divide both sides by `-9`.

Because we're dividing by a negative number, we need to flip the sign from a `<` to a `>`.

So, `u> -3`