Question

a - 1" alt="13 > \frac{2}{3} a - 1" align="absmiddle" class="latex-formula">

Answer 1

Answer:

21>a

Step-by-step explanation:

For inequalities, basically anything that uses > or < instead of an equal sign, you can generally treat it like an equality and use algebra.  The only thing you have to look out for is if you multiply or divide by a negative.  Then you have to flip the inequality sign.  so < turns to > and > turns to < if you multiply or divide by a negative.  

So first add one to both sides to get 14>(2/3)a

Then you can either divide both sides by (2/3) or do it in two steps by multiplying both sides by three and then dividing both side by 2, either way you get the same answer 21>a

I want to show you what happens if you multiply or divide by a negtive though.  So instead of all that let's try making the first step subtracting  (2/3)a from both sides to get 13-(2/3)a>-1.

Then we subtract 13 from both sides and get -(2/3)a>-14

Now, like before, we can divide both sides by -(2/3) or do it in two steps multiplying by 3 and then dividing by 2 to get -a>-21.

then to get a to a we multiply both sides by -1, now since we are multiplying by a negative the sign changes.  so a>21 changes to a<21 which is the same as 21>a.  let me know if you need any more help.