Question

Solve Each Inequality. graph the solution set and write the answer in interval notation. I am terrible at math can you please take me through the steps in solving this problem.
8/3(2k+1)> 1/6K + 8/3

Answer 1

get rid of the annoying fractions first by multiplying both sides by \(6\)

Answer 2

you can start with
\[16(2k+1)>k+16\] if you do that

Answer 3

then multiply out on the left, to get
\[32k+16>k+16\] subtract 16 from both sides giving
\[32k>k\] then subtract \(k\) from both sides to find
\[31k>0\] and divide by \(31\) to finish with
\[k>0\]