SOLUTION: How would I solve this equation reagrding least common denominators: a+1/4 - 2/1 > 11/1 - a/6

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Question 670219: How would I solve this equation reagrding least common denominators:
a+1/4 - 2/1 > 11/1 - a/6

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2B1%29%2F4+-+2%2F1+%3E+11%2F1+-+a%2F6.....on left side you have denominators 4 and 1, so, LCD is 4%2A1=4
.on right side you have denominators 1 and 6, so, LCD is 6%2A1=6
now you can write

%28%28a%2B1%29%2A1+-+2%2A4%29%2F4+%3E+%2811%2A6+-+a%2A1%29%2F6

%28a%2B1-8%29%2F4+%3E+%2866+-a%29%2F6
%28a-7%29%2F4+%3E+%2866+-a%29%2F6...now, you can either find LCD for 4 and 6, or cross multiply
let's find LCD for 4 and 6: 4=2%2A2 and 6=2%2A3, so LCD will be 2%2A2%2A3=12
now, nominator and denominator on left side multiply by 3, and on the right side by 2

%28a-7%29%2A3%2F%284%2A3%29+%3E+%2866+-a%29%2A2%2F%286%2A2%29

3%28a-7%29%2F12+%3E+2%2866+-a%29%2F12......since denominators equal, nominators must be unequal to so the inequality doesn't change , so we have
3%28a-7%29+%3E+2%2866+-a%29
3a-21+%3E+132+-2a
3a%2B2a+%3E+132+%2B21
5a+%3E+153
a+%3E+153%2F5
a+%3E+30.6