Test Index

Linear Inequalities

Question : 36 of 54

Marks: +1, -0

x > 0, y < 0

represents

Solution:

Concept:

x > 0

gives the half-plane to the right of the

y

-axis,

y < 0

gives the half-plane below the

x

-axis; their overlap is the fourth quadrant.

Explanation:

The coordinate plane is divided into four quadrants:

• First quadrant:

x > 0

y > 0

• Second quadrant:

x < 0

y > 0

• Third quadrant:

x < 0

y < 0

• Fourth quadrant:

x > 0

y < 0

Given

x > 0

and

y < 0

, this matches the fourth quadrant.

Answer:

Fourth quadrant

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