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)   (Show Source): You can put this solution on YOUR website!
Your problem statement is ambigous. Do you mean or ?




Multiply both sides by 6:


Add 5 to both sides:


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: is clearly a true statement, but if you multiply both sides by -1, you get on the left and on the right, but you have to change the less than sign to a greater than sign because clearly .



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Add 5 to both sides:


Multiply by 6:


Multiply by -1 and reverse the sense:

Answer by cuteminiming(5)   (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 :)

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