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23+10.9t-15.5t>0
Subtract 15.5t from both sides.
23-4.6t>0
Combine 10.9t and -15.5t to get -4.6t.
-4.6t>-23
Subtract 23 from both sides. Anything subtracted from zero gives its negation.
t<\frac{-23}{-4.6}
Divide both sides by -4.6. Since -4.6 is negative, the inequality direction is changed.
t<\frac{-230}{-46}
Expand \frac{-23}{-4.6} by multiplying both numerator and the denominator by 10.
t<5
Divide -230 by -46 to get 5.