Step by step
The question
Question: which quadrant has x < 0 and y < 0?
x < 0, y < 0
1 Read the signs
x is less than 0: negative.
So the point is left of the y-axis.
x < 0 → −
y is less than 0: negative.
So the point is below the x-axis.
y < 0 → −
2 Name the quadrants
Draw the grid.
The two axes cut it into four parts.
Each part is called a quadrant.
3 Find the quadrant
Left and down: (−, −).
That is quadrant Ⅲ.
= (−, −) → quadrant III
4 Check
Let's check with a point that has these signs: (−2, −3).
From 0, go left 2.
Then go down 3.
Put a dot.
The dot is in quadrant Ⅲ.
So the answer is right!
Let's look back.
First: read the signs.
Then: name the quadrants.
Then: find the quadrant.
Last: check.
Answer
= (−, −) → quadrant III