Consider the following inequality problem.
\[
7 w \leq 8 w-4 \text { or } 3-5 w> 33
\]
Step 1 of 4: Solve the first inequality and express your answer in interval notation. Use decimal form for numerical values.
Final Answer: \(\boxed{[4, \infty)}\)
Step 1 :Consider the inequality problem \(7w \leq 8w - 4\).
Step 2 :To solve this inequality, subtract \(7w\) from both sides to isolate \(w\), which gives \(w \geq 4\).
Step 3 :The solution to the first inequality is \(w \geq 4\). This means that \(w\) can be any number that is greater than or equal to 4.
Step 4 :In interval notation, this is represented as \([4, \infty)\).
Step 5 :Final Answer: \(\boxed{[4, \infty)}\)