Question

Hi! I have no idea what I need to do for this so any help is appreciated

Answer 1

Step-by-step explanation

To solve the given inequality, we will have

`3|x-4|-5<10`

To solve the question

we will follow the steps below

Step 1:

`\begin{gathered} \mathrm{Add\:}5\mathrm{\:to\:both\:sides} \\ 3\left|x-4\right|-5+5<10+5 \end{gathered}`

Step 2:

`\begin{gathered} \mathrm{Simplify} \\ 3\left|x-4\right|<15 \end{gathered}`

Step 3:

`\begin{gathered} \mathrm{Divide\:both\:sides\:by\:}3 \\ (3\left|x-4\right|)/(3)<(15)/(3) \end{gathered}`

Step 4:

`\begin{gathered} \mathrm{Simplify} \\ \left|x-4\right|<5 \end{gathered}`

step 5

Thus we have the answer as

[tex]-1