The point (0,0) is a solution to which of these inequalities?
a. y+4 < 3x+1
b. y-1< 3x-4
c. y+4< 3x-1
d. y-4< 3x-1

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 .

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

any options?

step-by-step explanation: