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ANSWER

[tex]y \leqslant - x + 4[/tex]

EXPLANATION

The equation of the boundary line is

[tex]y = - x + 4[/tex]

Hence the inequality is either

[tex]y \leqslant - x + 4[/tex]

or

[tex]y \geqslant - x + 4[/tex]

We test the origin to get determine which one represents the shaded

We substitute (0,0) into the first inequality to get;

[tex]0\leqslant - (0) + 4[/tex]

This implies that,

[tex]0 \leqslant 4[/tex]

Hence the correct answer is

[tex]y \leqslant - x + 4[/tex]

luisejr77

Answer: Second Option

[tex]y \leq -x +4[/tex]

Step-by-step explanation:

The region is bounded by a line of negative slope that cuts the y-axis at the point y = 4 and cuts the x-axis at the point x = 4.

So the equation of this line is

[tex]y = -x + 4[/tex]

If the region is composed of all the points that lie below the line y = -x + 4 then it means that the region is formed by all the values of y less than or equal to the line [tex]-x + 4[/tex].

Therefore the inequation is:

[tex]y \leq -x +4[/tex]

Second Option

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