Question

naomi walks her dog, pixie, twice a day. she takes pixie for a 30 - minute walk in the morning and a quick walk at night before bed. pixies nighttime walk is shorter than her morning walk. let ( l ) represent the length, in minutes, of pixies nighttime walk. which inequality models the story? ( l > 30 ) ( l geq 30 ) ( l < 30 ) ( l leq 30 ) graph the inequality that models the story. to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Analyze the problem

The morning walk is 30 minutes, and the nighttime walk is shorter than the morning walk. Let \( l \) be the length of the nighttime walk in minutes. So we need to find an inequality where \( l \) is less than 30.

Step2: Evaluate the inequalities

• \( l > 30 \): This means the nighttime walk is longer than 30 minutes, which is not true.
• \( l \geq 30 \): This means the nighttime walk is at least 30 minutes, which is not true.
• \( l < 30 \): This means the nighttime walk is less than 30 minutes, which matches the problem statement.
• \( l \leq 30 \): This means the nighttime walk is at most 30 minutes, but the problem says "shorter than", so \( l < 30 \) is more accurate.

Answer:

\( l < 30 \)