To determine the correct inequality representing the given statement, let's break down the information provided step by step.
The statement "The maximum value of [tex]\( y \)[/tex] is 10 more than 3 times another number [tex]\( m \)[/tex]" can be understood as:
1. Understanding the maximum value of [tex]\( y \)[/tex]:
- The maximum value of [tex]\( y \)[/tex] is given by the expression [tex]\( 3m + 10 \)[/tex].
2. Expressing [tex]\( y \leq \)[/tex] maximum value:
- Since the maximum value of [tex]\( y \)[/tex] is [tex]\( 3m + 10 \)[/tex], we can express that [tex]\( y \)[/tex] must be less than or equal to this value.
This can be stated mathematically as:
[tex]\[ y \leq 3m + 10 \][/tex]
Thus, the correct inequality that shows the possible values of [tex]\( y \)[/tex] is:
(A) [tex]\( y \leq 3m + 10 \)[/tex]
