Answered

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Help And thx ................................... MATH

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SneezyDwarf125

[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]Answer:

Step-by-step explanation:

just substitute the coordinates into the inequality and solve it.

[tex](-4) > -(-4)-4\\-4 > 4-4\\-4 > 0[/tex]This is false, therefore, (-4,-4) is incorrect

[tex]0 > -(-4)-4\\0 > 4-4\\0 > 0[/tex]0 cannot be greater than 0, therfore (-4,0) is incorrect

[tex]-4 > -(0)-4\\-4 > -4[/tex]-4 cannot be greater than -4, therefore (0,-4) is incorrect

[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]4 is greater than 0 and therefore, (-4,4) is the correct answer

Alternatively, you can draw a graph of the inequality, by considering [tex]y=-x-4[/tex], drawing its graph, and substitute a point that's not on the line, for example, (0,0), to find the region the inequality is in. If the coordinate you substituted in solves the inequality, then the region you choose is the one that the point you substituted in lies in. If the inequality is incorrect, its the other region on the other side of the graph. Once that's done, you can observe if any of the coordinates listed in the question correspond correctly to the relative regions on the graph, and thus choose the correct answer from there.

cheers

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