Question
use set notation to express the value that makes the inequalities true.
-2w - 4 ≥ 0
-2w - 4 ≥ 0
Answers
GPT-4o mini
To solve the inequality \(-2w - 4 \geq 0\), we first isolate \(w\).
1. Add 4 to both sides:
\[
-2w \geq 4
\]
2. Divide by -2 (remember to reverse the inequality sign when dividing by a negative number):
\[
w \leq -2
\]
Now we can express the solution using set notation. The solution in set notation is:
\[
\{ w \in \mathbb{R} \mid w \leq -2 \}
\]
This means the set of all real numbers \(w\) such that \(w\) is less than or equal to -2.
1. Add 4 to both sides:
\[
-2w \geq 4
\]
2. Divide by -2 (remember to reverse the inequality sign when dividing by a negative number):
\[
w \leq -2
\]
Now we can express the solution using set notation. The solution in set notation is:
\[
\{ w \in \mathbb{R} \mid w \leq -2 \}
\]
This means the set of all real numbers \(w\) such that \(w\) is less than or equal to -2.