Question 208941
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.

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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