QUESTION IMAGE
Question
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jack ran more than 15 miles this weekend.
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Step1: Analyze the inequality
The statement is "Jack ran more than 15 miles", which translates to the inequality \( x > 15 \), where \( x \) is the number of miles Jack ran.
Step2: Represent on the number line
On a number line, for \( x > 15 \), we use an open circle at 15 (since 15 is not included) and draw an arrow to the right (indicating all numbers greater than 15). Looking at the given number line, the values greater than 15 start from 16, 18, 20, etc. So the correct representation would have an open circle at 15 (but since 15 is not marked with a tick? Wait, the number line has ticks at 2,4,6,8,10,12,14,16,18,20. So 15 is between 14 and 16. So to represent \( x > 15 \), we place an open circle between 14 and 16 (closer to 16) and draw an arrow to the right towards 16,18,20.
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To graph "Jack ran more than 15 miles" (\( x > 15 \)) on the given number line: Place an open circle between 14 and 16 (since 15 is not a tick mark but between 14 and 16) and draw an arrow pointing to the right (towards 16, 18, 20, etc.) to indicate all values greater than 15.