1000-100w is greater than or equal to 500

Answer 1

To solve the inequality \( 1000 - 100w \geq 500 \), we can start by isolating the term involving \( w \).

1. Subtract 1000 from both sides: \[ -100w \geq 500 - 1000 \] \[ -100w \geq -500 \]

2. Now, divide both sides by -100. Remember that dividing both sides of an inequality by a negative number flips the inequality sign: \[ w \leq \frac{-500}{-100} \] \[ w \leq 5 \]

Thus, the solution to the inequality is \( w \leq 5 \).