How do you graph #-3>=n#?

Answer 1

Depends on the nature of #n# and the dimension of the graph.
See below

#-3>=n ->n in (-oo, -3]#
That is, n exists in the interval #(-oo, -3]#
To be able to represent #n# on a continuous graph I will assume that #n# is a real number. So now #n# can be represented as all points on the real line up to and including #-3#. Graphically, we can think of this as points on the #x-#axis #<=-3#
Next, to represent #n# on a 2D plane, we need to introduce an orthogonal axis (#y#) for which #n# exists for all values of #y#.
So, now we have #n =(x,y): n in RR; x in(-oo,-3]; y in(-oo,+oo)#
The shaded area on the graph below indicates the points for which #n# exists, with the assumptions above.

graph{-3>=x[-10,10,-5, 5]}

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Answer 2

To graph the inequality (-3 \geq n) on a number line:

  1. Draw a number line.
  2. Locate and mark the point (-3) on the number line.
  3. Since the inequality includes the equal sign ((\geq)), draw a closed circle at (-3) to indicate that (-3) is part of the solution set.
  4. The inequality states that (n) is less than or equal to (-3), so shade the portion of the number line that extends to the left of (-3), indicating all the values less than or equal to (-3) are part of the solution set.
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Answer 3

To graph the inequality -3 ≥ n on a number line, you would first locate the point where n equals -3. Then, since the inequality is greater than or equal to, you would shade the region to the right of that point, including the point itself. This indicates that any value of n greater than or equal to -3 satisfies the inequality.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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