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The maximum value of [tex]\( y \)[/tex] is 10 more than 3 times another number [tex]\( m \)[/tex]. Which inequality shows the possible values of [tex]\( y \)[/tex]?

A. [tex]\( y \leq 3m + 10 \)[/tex]
B. [tex]\( y \geq 3m + 10 \)[/tex]
C. [tex]\( y \leq 10 - 3m \)[/tex]
D. [tex]\( y \geq 10 - 3m \)[/tex]

Sagot :

GinnyAnswer
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]
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