Question 14607: Please help me with this inequality: 56<14t
thank you!
Answer by glabow(165)   (Show Source):
You can put this solution on YOUR website! What do you want to know? I assume you wonder what values of t make the statement true!
Try the following:
If t=4, then 14t=56. What happens if t gets smaller, say 3.999. 14t will then be smaller than 56.
What happens if t gets larger, say 4.00001. 14t will then be larger than 56.
Any number larger than 4 would then make the inequality 56<14t true.
So an "answer" would be: 56<14t for all values of t>4.
I suspect that is what you were looking for.
NOTE: while this is all intuitive, you can be more formal.
56 < 14t
4 < t [dividing both sides by 14]
This says the same thing. The only thing to remember about inequalities is that you can add, subtract, multiply and divide by equals on both side BUT MUST CHANGE THE DIRECTION OF THE INEQUALITY if you divide or multiply by a negative number.
3 > 2 [true]
6 > 4 [multiplying both sides by 2]
BUT
-6 < -4 [multiplying both sides by -2]
Play with this a bit with simple numbers (and draw them on a number line) until you see how this works.
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