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Solve for $r$ . $\newline$ -1.3r - 15 + 12.2r > 17.16 + 17.6r $\newline$ Write your answer using a decimal, whole number, or fraction in lowest terms.

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Average rate of change II

Full solution

Q. Solve for

r

.

\newline

-1.3r - 15 + 12.2r > 17.16 + 17.6r

\newline

Write your answer using a decimal, whole number, or fraction in lowest terms.

Simplify the inequality: First, let's simplify the inequality by combining like terms on each side: $\newline$ -1.3r + 12.2r > 17.16 + 17.6r $\newline$ Combine the $r$ terms on the left: $\newline$ (12.2r - 1.3r) > 17.16 + 17.6r $\newline$ 10.9r > 17.16 + 17.6r
Combine $r$ terms: Next, we need to get all the $r$ terms on one side of the inequality. Subtract $17.6r$ from both sides: $\newline$ 10.9r - 17.6r > 17.16 $\newline$ -6.7r > 17.16
Get $r$ terms on one side: Now, solve for $r$ by dividing both sides by $-6.7$ . Remember, dividing by a negative number reverses the inequality: $\newline$ r < \frac{17.16}{-6.7} $\newline$ r < -2.56

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