The inequality which represents the provided sentence is -3.2n +1.5 less-than-or-equal-to 8.6.
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The sentence given in the problem is,
The sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.
Here, in the above sentence, the unknown number discussed. Suppose this unknown number is n.
Now the sum the number negative 3.2 and 1.5 times of this unknown number is maximum of 8.6. Here word maximum means that the sum may be less that or equal to the number 8.6 but can not be more than it.
Therefore, in the inequality equation, the less than-equal to sign is used. Hence, the equation will become as,
[tex](-3.2)+1.5\times n\leq8.6\\-3.2+1.5 n\leq8.6[/tex]
Thus, the inequality which represents the provided sentence is -3.2n +1.5 less-than-or-equal-to 8.6.
Learn more about the inequality equation here:
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