Questions: Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.
A. The solution is w w<
(Simplify your answer. Use integers or fractions for any numbers in the inequality.)
B. The solution is w <w<
(Simplify your answers. Use integers or fractions for any numbers in the inequality.)
C. The solution is ww> .
(Simplify your answer. Use integers or fractions for any numbers in the inequality.)
D. The solution is w w< or w> .
(Simplify your answers. Use integers or fractions for any numbers in the inequality.)
E. The solution is the empty set
Transcript text: b. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.
A. The solution is $\{w \mid w<$ $\square$ \}
(Simplify your answer. Use integers or fractions for any numbers in the inequality.)
B. The solution is $\{w \mid$ $\square$ $$ $\square$ \}.
(Simplify your answers. Use integers or fractions for any numbers in the inequality.)
E. The solution is the empty set
Solution
Solution Steps
Step 1: Analyze the given number line
The number line in option B shows all numbers less than 4, with an open circle at 4, indicating that 4 is not included in the solution set.
Step 2: Translate the number line to an inequality
The number line represents the inequality \( w < 4 \).
Step 3: Match the inequality to the given choices
Option B in part b states: "The solution is \(\{ w \mid w < \text{ } \} \)". This matches the inequality \( w < 4 \).
Final Answer
Option B: The solution is \(\{ w \mid w < 4 \} \).