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Write down the inequalities that define the shaded region in th
diagram.

Write down the inequalities that define the shaded region in th diagram.-example-1

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Explanation:

By inspection, the shaded region is >= to the line AND less than x = 1

so you just need to find the equation of the line : y = -x + 3

SO shaded area is

y >= -x+3 AND x <1

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