SOLUTION: inequality: 2b-12>_13 and 18<_ 6y-12

Algebra ->  Inequalities -> SOLUTION: inequality: 2b-12>_13 and 18<_ 6y-12       Log On


   



Question 23211: inequality: 2b-12>_13 and 18<_ 6y-12

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Apparently these are two unrelated inequalities??
2b-12+%3E=+13
2b-12%2B12+%3E=+13%2B12
2b%3E=+25
b%3E=+25%2F2 or
b%3E=+12.5
On the numberline locate the number 12.5, and shade from that point to the right. Do NOT include the endpoint!

18%3C=+6y+-12
18+-+6y+%3C=+6y-6y+-12
18-6y+%3C=+-12
18-18+-6y+%3C=+-12-18
-6y+%3C=+-30

Now, here is the key step. Whenever you multiply or divide both sides of an inequality by a negative number, you must REVERSE the inequality.
-6y+%3C=+-30
%28-6y%29%2F-6+%3E=+%28-30%29%2F%28-6%29
+y+%3E=+5

Locate the number 5 on the numberline, and shade everything to the right of 5, and also INCLUDE the 5.

R^2 at SCC