SOLUTION: I just can't get this one problem in my algebra one workbook lesson 6-3. -5-t/6 is greater than or equal to-9

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Question 133487: I just can't get this one problem in my algebra one workbook lesson 6-3.
-5-t/6 is greater than or equal to-9
Found 2 solutions by solver91311, cuteminiming:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Your problem statement is ambigous. Do you mean %28-5-t%29%2F6%3E=-9 or -5-t%2F6%3E=-9?


%28-5-t%29%2F6%3E=-9

Multiply both sides by 6:
-5-t%3E=-54

Add 5 to both sides:
-t%3E=-49

Finally multiply by -1. Here is where solving an inequality differs from solving an equation. If you either multiply or divide by a negative number, you must reverse the sense of the inequality. Here is a trivial example to illustrate the point: 2%3C3 is clearly a true statement, but if you multiply both sides by -1, you get -2 on the left and -3 on the right, but you have to change the less than sign to a greater than sign because clearly -2%3E-3.

t%3C=49

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-5-t%2F6%3E=-9

Add 5 to both sides:
-t%2F6%3E=-4

Multiply by 6:
-t%3E=-24

Multiply by -1 and reverse the sense:
t%3C=24

Answer by cuteminiming(5) About Me  (Show Source):
You can put this solution on YOUR website!
multiply by six
and turn the sign around
so you have-5-t is less than or equal to -54
now add 5 to both sides
and you have -t is less than or equal to -49
so t is less than or equal to 49
THERE :)