Answer: d. .
Step-by-step explanation:
To find : The point (0,0) is a solution to which of the given inequalities.
Let's check all inequalities :
a.
Substitute (x,y) = (0,0) , we get
, which is wrong.
So , The point (0,0) is not a solution for .
b.
Substitute (x,y) = (0,0) , we get
Multiply (-1) on both sides , we get
, which is wrong.
[Note : when we multiply a negative number to both sides of an inequality then the inequality sign gets reversed. ]
So , The point (0,0) is not a solution for .
c.
Substitute (x,y) = (0,0) , we get
, which is wrong.
So , The point (0,0) is not a solution for .
d.
Substitute (x,y) = (0,0) , we get
Multiply (-1) on both sides , we get
, which is correct.
[Note : when we multiply a negative number to both sides of an inequality then the inequality sign gets reversed. ]
So , The point (0,0) is a solution for .