is there any value of x with the property that x < x - 1? explain reasoning
\(x\ \textless \ x-1\\
0\ \textless \ -1\)
The above is not true, so "no".
x < x-1
⇒ x -x < -1
⇒ 0 < -1 (false!)
Because that 0 < -1 is never true, there is no value of x with the property that x < x-1.
Hope this helps~