The point (0,0) is a solution to which of these inequalities? a. y+7< 2x + 6 b. y- 7< 2x - 6 c. y -6< 2x - 7 d. y + 7< 2x -6

the apex answer to it D.y – 7 < 2x – 6

 The correct option is (B)

Step-by-step explanation:  We are given to select the inequalities that has the point (0, 0) as a solution.

Option (A):

The given inequality is

At the point (0, 0), we have

Since 7 > 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (B):

The given inequality is

At the point (0, 0), we have

Since -7 < - 6, so the point (0, 0) is a solution to this inequality.

This option is correct.

Option (C):

The given inequality is

At the point (0, 0), we have

Since -6 > - 7, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (D):

The given inequality is

At the point (0, 0), we have

Since 7 > - 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Thus, the point (0, 0) is a solution to the inequality

Option (B) is correct.

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