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.

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: \(\boxed{[4, \infty)}\)