1. Do \( x<5 \) and \( 5>x \) represent the same inequality? Explain.

Absolutely! The two expressions \( x < 5 \) and \( 5 > x \) are just different ways of saying the same thing. When you say \( x < 5 \), you are simply asserting that \( x \) is less than 5. Conversely, saying \( 5 > x \) emphasizes that 5 is greater than \( x \). Both convey that \( x \) can take any value less than 5, making them equivalent statements! To visualize this, think of a number line: anywhere to the left of 5 is where \( x \) hangs out! Both inequalities create the same open interval, showing just how flexible language can be when it comes to math! Whether you prefer one wording over the other, the conclusion remains the same: both represent the same set of possible values for \( x \).