To convert the given word phrase "5 less than twice a number [tex]\( y \)[/tex]" into an algebraic expression, follow these steps:
1. Identify the number [tex]\( y \)[/tex]: The variable given in the word phrase is [tex]\( y \)[/tex].
2. Twice a number [tex]\( y \)[/tex]: To express twice a number [tex]\( y \)[/tex], multiply [tex]\( y \)[/tex] by 2. This gives us [tex]\( 2y \)[/tex].
3. 5 less than twice a number [tex]\( y \)[/tex]: To indicate that we want 5 less than this value, we subtract 5 from [tex]\( 2y \)[/tex].
Hence, the algebraic expression for "5 less than twice a number [tex]\( y \)[/tex]" is:
[tex]\[ 2y - 5 \][/tex]
The appropriate choice among the options given is:
[tex]\[ 2y - 5 \][/tex]
