SOLUTION: 3t>6t+12 I'm trying to help my son with his algebra and it's been a long time since I've done this. I'm pretty sure I have to get the t's on one side. I tried dividing by 3, b

Question 208941: 3t>6t+12
I'm trying to help my son with his algebra and it's been a long time since I've done this. I'm pretty sure I have to get the t's on one side. I tried dividing by 3, but that didn't seem to get me any closer.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
3t > 6t+12
Treat it like a regular equation.
Subtract 6t from both sides.
3t - 6t > 12
-3t > 12
Since we are dividing by a negative number, the inequality sign must be reversed.
t < 12/-3
t < -4....This is the answer.
============================
Let's prove it.
Whatever the value of t is it must be less than -4 to make the original inequality given a true statement.
I will let t = -5 but you can use any number less than -4 for t. I will now plug -5 for t into 3t > 6t + 12 and simplify.
3(-5) > 6(-5) + 12
-15 > -30 + 12
-15 > -18....This is a true statement because IT IS TRUE that -15 is BIGGER than - 18. As the numbers on the real number line get closer to zero coming from the left side, they get BIGGER in value.
Final answer: t < -4

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