SOLUTION: how do you graph how do you graph {{{1/2 <=t <= 5/2}}}

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Question 214164: how do you graph how do you graph 1%2F2+%3C=t+%3C=+5%2F2
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do you graph how do you graph 1%2F2+%3C=t+%3C=+5%2F2

Step 1. You can think of the above inequality consist of two inequalities. That is,

2%2F3%3C=t and t%3C=5%2F2

Step 2. Then, on the number line we have

number_line%28600%2C+-10%2C10%2C+2%2F3%2C+5%2F2%29

Step 3. Now, the graph 2%2F3%3C=t is going from the red dot at 2/3 to the right pass the green dot to positive infinity or a positive large number.

Step 4. The graph t%3C=5%2F2 is going from the green dot at 5/2 to left pass the red dot to minus infinity or a negative large number.

Step 5. ANSWER. Finally, combining these two graphs as described above in Steps 3 and 4 will overlap with each other. The overlap and solution is between 2/3 and 5/2 or between the red and green dots as shown in the graph.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J