For each value of w, determine whether it is a solution to 10 ≤ w.
Understand the Problem
The question requires us to evaluate each value of w given in the table and determine if it satisfies the inequality 10 ≤ w. We will check each value against this inequality.
Answer
- Yes for \( w = 12 \) - Yes for \( w = 10 \) - Yes for \( w = 13 \) - No for \( w = 7 \)
Answer for screen readers
- For ( w = 12 ): Yes
- For ( w = 10 ): Yes
- For ( w = 13 ): Yes
- For ( w = 7 ): No
Steps to Solve
- Evaluate the first value (w = 12)
Check if ( 12 ) satisfies the inequality ( 10 \leq w ). Since ( 12 ) is greater than ( 10 ), it satisfies the inequality.
- Evaluate the second value (w = 10)
Check if ( 10 ) satisfies the inequality ( 10 \leq w ). Since ( 10 ) is equal to ( 10 ), it satisfies the inequality.
- Evaluate the third value (w = 13)
Check if ( 13 ) satisfies the inequality ( 10 \leq w ). Since ( 13 ) is greater than ( 10 ), it satisfies the inequality.
- Evaluate the fourth value (w = 7)
Check if ( 7 ) satisfies the inequality ( 10 \leq w ). Since ( 7 ) is less than ( 10 ), it does not satisfy the inequality.
- For ( w = 12 ): Yes
- For ( w = 10 ): Yes
- For ( w = 13 ): Yes
- For ( w = 7 ): No
More Information
The inequality ( 10 \leq w ) means that ( w ) must be at least ( 10 ). Values greater than or equal to ( 10 ) are solutions to this inequality.
Tips
One common mistake is misinterpreting the inequality signs. Make sure to remember that ( \leq ) includes the boundary value (in this case, ( 10 )).
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