An obtuse triangle circumscribed about a circle:

  c. -1.5 < -0.5

Step-by-step explanation:

a. -1.5 > 0.5 . . . . false

b. -0.5 > 0 . . . . . false

c. -1.5 < -0.5 . . . TRUE

d. 1/2 > 0.5 . . . . false (these are the same number) 1/2 = 0.5

In order on the number line from left to right, you will see ...

  (left end) ... -1.5 ... -0.5 ... 0 ... 0.5 ... (right end)

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The inequality relation appropriate to these is ...

  (number on the left) < (number on the right)

Of course, this can be swapped around so you have ...

  (number on the right) > (number on the left)