SOLUTION: Solve \frac{1}{3} t - 5 < t + 2 - 5t + 10. Give your answer as an interval.

Algebra ->  Inequalities -> SOLUTION: Solve \frac{1}{3} t - 5 < t + 2 - 5t + 10. Give your answer as an interval.      Log On


   



Question 1209107: Solve \frac{1}{3} t - 5 < t + 2 - 5t + 10. Give your answer as an interval.
Answer by mccravyedwin(408) About Me  (Show Source):
You can put this solution on YOUR website!

Inequalities are solved just like equations except that if you
multiply an inequality through by a negative number, you must
reverse the inequality sign. But you won't have to do that with
your inequality:  

Instead of doing yours for you, I'll do one exactly like yours:

expr%281%2F4%29t-9%22%22%3C%22%22t+%2B+3+-+6t+%2B+13%29 

Multiply through by +4 to clear the fraction.

t-36%22%22%3C%22%224t+%2B+12+-+24t+%2B+52%29 

Combine like terms:

t-36%22%22%3C%22%22-20t+%2B+64%29 

Add 20t to both sides:

21t-36%22%22%3C%22%2264

Add 36 to both sides:

21t%22%22%3C%22%22100

Divide both sides by 21:

t%22%22%3C%22%22100%2F21

Now do yours using the same steps.

Yours will also come out an irreducible fraction.

Interval notation

%28matrix%281%2C3%2C-infinity%2C+%22%2C%22%2C+100%2F21%29%29

Edwin