Suppose & d, and represent three rational numbers. If & is less than &, and & is less than , compare and f Explain.

1 answer

It seems like there may have been an error in your message with regards to how the rational numbers are represented. However, I can help you understand how to compare rational numbers generally.

Let's say we have three rational numbers \( a \), \( b \), and \( c \). If we know:

  • \( a < b \) (which means \( a \) is less than \( b \))
  • \( b < c \) (which means \( b \) is less than \( c \))

From this information, we can also conclude the following:

  1. Since \( a < b \) and \( b < c \), by the transitive property of inequalities, we can deduce that \( a < c \).

Therefore, we can summarize the relationships as follows:

  • \( a < b < c \)

This means \( a \) is the smallest rational number among the three, followed by \( b \), and \( c \) is the largest.

If you provide specific rational numbers represented with symbols or variables, I can help you analyze and compare them directly.