Respuesta :

TripleThreatRM
If we substitute the values in we get....

A. -2 ≤ -4

B. -2 ≤ -3

C. -2 ≤ -19

D. -2 ≤ 17

As you can see the only true answer is D, so that would be your correct choice.  :)


InesWalston

Answer:

[tex]\boxed{\boxed{y\leq 2x+1}}[/tex]

Step-by-step explanation:

If a point lies on the shaded region, then it must satisfy the inequality.

So putting the coordinates of (8, -2) in all the inequalities.

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

[tex]\Rightarrow -2\leq -8+4[/tex]

[tex]\Rightarrow -2\nleqslant -4[/tex]

Therefore, it does not belong to this inequality.

B. [tex]y\leq x-11[/tex]

[tex]\Rightarrow -2\leq 8-11[/tex]

[tex]\Rightarrow -2\nleqslant -3[/tex]

Therefore, it does not belong to this inequality.

C. [tex]y\leq -2x-3[/tex]

[tex]\Rightarrow -2\leq -16-3[/tex]

[tex]\Rightarrow -2\nleqslant -19[/tex]

Therefore, it does not belong to this inequality.

D. [tex]y\leq 2x+1[/tex]

[tex]\Rightarrow -2\leq 16+1[/tex]

[tex]\Rightarrow -2\leq 17[/tex]

Therefore, it belongs to this inequality.

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