Solve -3t + 6 < 3. t < 1 t > 1 t < -3 t > -3
There are 2 ways you can do this since its multiple choice. You can use algebra to simplify the problem down to look like one of your answers, or you can pick an answer and test., which would you like to use?
If it makes it easier, just pretend the < is an equals signs and then solve for t
algebra
-3t + 6 < 3 move the 6 to the other by subtracting 6, you come up with -3t < -3 now what you'll have to do is divide -3 by -3 to isolate t BUT because you're dividing, you'll have to flip your sign around.. t > 1
alright, so starting with your question: \[-3t+6 < 3\] first we will subtract 6 from both sides: \[-3t+6-6< 3-6 \Rightarrow -3t< -3\] Then you want to get ride of the -3 thats multiplying the t, so we will divide by -3, but because we are dividing by a negative number, we must reverse the inequality sign. \[-3t < -3 \Rightarrow \frac{-3t}{-3} < \frac{-3}{3} \Rightarrow t > 1\]
whoops, that should be a negative 3 in my last equation <.< my bad.
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