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Answers for “为什么 y > -4 的区域在 y = -4 之上着色?”

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Understand why

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The region above y=−4y = -4 is shaded because the inequality y>−4y > -4 requires the y-coordinate to be greater than -4. On a standard coordinate plane, larger y-values are located above the horizontal line y=−4y = -4.

Conditions: The inequality restricts y.; The boundary is a horizontal line y=−4y = -4.

Find a method

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For an x-inequality, shade to the right if x is greater than the boundary value (x>cx > c or x≥cx \ge c), and shade to the left if x is less than the boundary value (x<cx < c or x≤cx \le c).

Conditions: The inequality restricts x.; The boundary is a vertical line x=cx = c.

Know when to use it

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An inequality produces a vertical boundary when it restricts only the x-coordinate (e.g., x=cx = c). It produces a horizontal boundary when it restricts only the y-coordinate (e.g., y=cy = c).

Conditions: The inequality is in an xy-coordinate system.; The boundary is determined by replacing the inequality with equality.