Question
is the point (5/3),-1/4) a solution to the inequality 3x-4y<6 explain how u know
Answers
GPT 3.5
To determine if the point (5/3, -1/4) is a solution to the inequality 3x - 4y < 6, we substitute the x and y values from the point into the inequality and see if the statement is true.
Substituting 5/3 for x and -1/4 for y, we have:
3(5/3) - 4(-1/4) < 6
5 -(-1) < 6
5 + 1 < 6
6 < 6
The inequality 6 < 6 is false, which means that the point (5/3, -1/4) is not a solution to the inequality 3x - 4y < 6.
Substituting 5/3 for x and -1/4 for y, we have:
3(5/3) - 4(-1/4) < 6
5 -(-1) < 6
5 + 1 < 6
6 < 6
The inequality 6 < 6 is false, which means that the point (5/3, -1/4) is not a solution to the inequality 3x - 4y < 6.