Question

b. a tornado has wind speeds that are at least 158 miles per hour. write and solve an inequality that describes how much greater these wind speeds are than the
o a) 158 - y ≥ 40; 118 mph or less
o b) y - 40 ≥ 158; at least 198 mph
o c) y - 158 ≥ 40; at least 198 mph
o d) 40 + y ≥ 158; at least 118 mph

Explanation:

Step1: Define the variable

Let \( y \) be the wind speed of the tornado.

Step2: Write the inequality

Since the wind speed \( y \) is at least \( 158 \) mph, we can write the inequality \( y\geq158 \). To find how much greater the wind speed \( y \) is than \( 118 \) mph, we set up the inequality \( y - 118\geq40 \).

Step3: Solve the inequality

Add \( 118 \) to both sides of the inequality \( y - 118\geq40 \).

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Answer:

C. \( y - 158\geq40 \); at least \( 198 \) mph