Question

The point (0,0) is a solution to which of these inequalities?

O
O
O
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A. y - 4<3x - 5
B. y - 5< 3x - 4
C. y +5< 3x + 4
D. y + 5 < 3x - 4

Answer 1

B.

Explanation:

Let's plug in and find out.

A. y-4<3x-5 with (x,y)=(0,0)

0-4<3(0)-5

-4<-5

This is false because -5 is not bigger than -4.

B. y-5<3x-4 with (x,y)=(0,0)

0-5<3(0)-4

-5<-4

This is true because -4 is bigger than -5.

C. y+5<3x+4 with (x,y)=(0,0)

0+5<3(0)+4

5<4

This is false because 4 is not bigger than 5.

D. y+5<3x-4 with (x,y)=(0,0)

0+5<3(0)-4

5<-4

This is false because -4 is not bigger than 5.

The only true inequality I got from plugging in (0,0) for (x,y) was B so that your answer.