1. Solve the following equations for $x$. Write your answer in set notation.
a. $3 x-5=16$
Final Answer: \(\boxed{\{7\}\})
Step 1 :Add 5 to both sides of the equation to get rid of the -5 on the left side. This will give us \(3x = 21\).
Step 2 :Divide both sides by 3 to solve for \(x\).
Step 3 :The solution to the equation is \(x = 7\). This is the only solution, so the set of solutions is \(\{7\}\).
Step 4 :Final Answer: \(\boxed{\{7\}\})