The point (0,0) is a solution of (y - 5 < 3x - 4) and this can be determined by substituting the value of (x = 0) and (y = 0).
Given :
Point -- (0,0)
Check all the options in order to determine the inequalities whose solution is (0,0).
A) y + 5 < 3x - 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
5 < -4 which is not true. Therefore, this option is incorrect.
B) y - 4 < 3x - 5
Substitute the value of (x = 0) and (y = 0) in the above in equality.
-4 < -5 which is not true. Therefore, this option is incorrect.
C) y + 5 < 3x + 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
5 < 4 which is not true. Therefore, this option is incorrect.
D) y - 5 < 3x - 4
Substitute the value of (x = 0) and (y = 0) in the above in equality.
-5 < -4 which is true. Therefore, this option is correct.
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