Question 214164
How do you graph how do you graph {{{1/2 <=t <= 5/2}}}


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


{{{2/3<=t}}} and  {{{t<=5/2}}}


Step 2.  Then, on the number line we have


{{{number_line(600, -10,10, 2/3, 5/2)}}}


Step 3.  Now, the graph {{{2/3<=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<=5/2}}} 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