The region R, shown shaded in the diagram, is bounded by four straight lines. Write down the inequalities that define R.

for some reason i can’t remember how to do this (might be because i’m tired but i’m on my last homework question), can anyone help?

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Step-by-step explanation:

The boundaries in the vertical direction are the horizontal lines ...

  y = 3  (top boundary)

  y = 1  (bottom boundary)

The shaded region is between these lines, so y has values described by ...

  1 ≤ y ≤ 3

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The boundaries in the horizontal direction are the vertical lines ...

  x = 0  (left boundary)

  x = 2  (right boundary)

The shaded region is between these lines, so x has values ...

  0 ≤ x ≤ 2

These are your inequalities.

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If you're plotting this on Desmos, you can use the relation ...

  max(abs(x-1), abs(y-2)) ≤ 1

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step-by-step explanation: