Solve the inequality for $$ y $$. $$ \frac{8}{9} \leq-10 y $$ Simplify your answer as much as possible.

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UpStudy AI · Accepted Answer

To solve the inequality:

$$
\frac{8}{9} \leq -10y
$$

follow these steps:

1. **Isolate $$ y $$:**  
   Divide both sides of the inequality by $$-10$$. Remember that dividing by a negative number reverses the inequality sign.

$$
   \frac{8}{9} \div (-10) \geq y
   $$

2. **Simplify the division:**  
   $$
   \frac{8}{9} \times \frac{1}{-10} = \frac{8}{-90} = -\frac{4}{45}
   $$

3. **Write the final inequality:**  
   $$
   y \leq -\frac{4}{45}
   $$

**Solution:**  
All real numbers $$ y $$ with $$ y \leq -\dfrac{4}{45} $$.
$$ y \leq -\frac{4}{45} $$

Solve the inequality for .

Simplify your answer as much as possible.

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