Question

active practice: the speed limit is 35 mph. write an inequality showing the speed you can legally drive in this zone. options: s > 35; s ≤ 35; s = 35; s < 35; s ≥ 35

Explanation:

Step1: Understand the problem

The speed limit is 35 mph, which means the legal speed \( s \) (in mph) should be less than or equal to 35, because you can't drive faster than the speed limit, and driving at exactly 35 is also legal.

Step2: Analyze the options

• \( s > 35 \): This would mean driving faster than the speed limit, which is illegal.
• \( s \leq 35 \): This means the speed \( s \) is less than or equal to 35, which is legal.
• \( s = 35 \): This only allows driving at exactly 35, but you can also drive slower, so this is too restrictive.
• \( s < 35 \): This means driving slower than 35, but driving at 35 is also legal, so this is not correct.
• \( s \geq 35 \): This means driving at or above 35, which includes speeds above the limit, so this is illegal.

Answer:

\( s \leq 35 \) (corresponding to the option \( s \leq 35 \))