To determine the elements of set [tex]\( p \)[/tex] given that [tex]\( p \)[/tex] is equal to set [tex]\( q \)[/tex], and knowing that the elements of set [tex]\( q \)[/tex] are [tex]\( \{ e, i, 0, t, s \} \)[/tex], we can proceed by recognizing that if two sets are equal, they contain precisely the same elements.
Given set [tex]\( q = \{ e, i, 0, t, s \} \)[/tex]:
1. Since set [tex]\( p \)[/tex] is equal to set [tex]\( q \)[/tex],
2. The elements of set [tex]\( p \)[/tex] must exactly match the elements of set [tex]\( q \)[/tex].
Thus, the elements of set [tex]\( p \)[/tex] are:
[tex]\[ p = \{ t, 0, i, e, s \} \][/tex]
So, set [tex]\( p \)[/tex] contains the elements [tex]\( t, 0, i, e, \)[/tex] and [tex]\( s \)[/tex].