How do you graph - 3 ≥ n ?

Question

How do you graph       -    3    ≥    n   ?

odmeravan5c · Accepted Answer

Step 1      -    3    ≥    n    →    n    ∈          (      -      ∞      ,      -      3      ]      That is, n exists in the interval             (      -      ∞      ,      -      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    ∈    ℝ    ;    x    ∈          (      -      ∞      ,      -      3      ]        ;    y    ∈          (      -      ∞      ,      +      ∞      )      The shaded area on the graph below indicates the points for which n exists, with the assumptions above.

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