Question

Please solve this question and show your work! Thank you!

Answer 1

Answer:

$u<-1\text{ or } u>2$

Step-by-step explanation:

So we have the equation:

$-3|2-4u|+5<-13$

First, subtract -5 from both sides:

$-3|2-4u|<-18$

Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:

$|2-4u|>6$

Definition of absolute value:

$2-4u>6\text{ or } 2-4u<-6$

Note that we flip the sign on the right because we multiplied 6 by a negative.

On both the left and right, subtract 2:

$-4u>4\text{ or } -4u<-8$

Divide both equations by -4. Since we're dividing by a negative, flip the signs:

$u<-1\text{ or } u>2$

So, our final solution is:

$u<-1\text{ or } u>2$

And we're done!