Question
1000-100w is greater than or equal to 500
Answers
GPT-4o mini
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 \( w \leq 5 \).
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 \( w \leq 5 \).