Explain whether the following statement is true or false: “The ordered pair (1,5) is the same as the order pair (5,1).”
To determine whether the statement is true or false, we need to compare the two ordered pairs given: (1,5) and (5,1). An ordered pair represents a point on a coordinate plane, with the first number indicating the x-coordinate and the second number indicating the y-coordinate.
In this case, (1,5) means that the x-coordinate is 1 and the y-coordinate is 5, while (5,1) means that the x-coordinate is 5 and the y-coordinate is 1. Since the x and y coordinates are different between the two ordered pairs, we can conclude that the statement is false.
In general, to determine whether two ordered pairs are the same, we need to compare both the x-coordinates and the y-coordinates. If both sets of coordinates are equal, then the ordered pairs are the same. If any one coordinate is different, then the ordered pairs are different.
So, the correct answer is: The statement "The ordered pair (1,5) is the same as the order pair (5,1)" is false, as the two ordered pairs have different values for both x and y coordinates.