Question

solve the inequality \\(\frac{r}{-3.5} > 9.1\\) for ( r ). (2 points)
\\( r < -31.85 \\)
\\( r > -31.85 \\)
\\( r < -2.6 \\)
\\( r > 2.6 \\)

Explanation:

Step1: Multiply both sides by -3.5

When multiplying an inequality by a negative number, the inequality sign flips. So we have $\frac{r}{-3.5} \times (-3.5) < 9.1 \times (-3.5)$ (note the flip of the inequality sign).

Step2: Calculate the right side

Calculate $9.1\times(-3.5)$. $9.1\times3.5 = 31.85$, so $9.1\times(-3.5)= - 31.85$. Thus, $r < - 31.85$.

Answer:

A. \( r < -31.85 \)