For each value of y, determine whether it is a solution to y < 9.
Understand the Problem
The question is asking to determine whether each given value of y satisfies the inequality y < 9. We will check each value (9, 5, 14, and 7) against this condition.
Answer
- \( y = 9 \): No, \( y = 5 \): Yes, \( y = 14 \): No, \( y = 7 \): Yes.
Answer for screen readers
- For ( y = 9 ): No
- For ( y = 5 ): Yes
- For ( y = 14 ): No
- For ( y = 7 ): Yes
Steps to Solve
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Understand the inequality We need to check if each given value of ( y ) is less than 9. The inequality we are working with is ( y < 9 ).
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Check the first value: ( y = 9 ) We evaluate if ( 9 < 9 ).
This is false, so:
- Is it a solution? No
- Check the next value: ( y = 5 ) We evaluate if ( 5 < 9 ).
This is true, so:
- Is it a solution? Yes
- Check the next value: ( y = 14 ) We evaluate if ( 14 < 9 ).
This is false, so:
- Is it a solution? No
- Check the last value: ( y = 7 ) We evaluate if ( 7 < 9 ).
This is true, so:
- Is it a solution? Yes
- For ( y = 9 ): No
- For ( y = 5 ): Yes
- For ( y = 14 ): No
- For ( y = 7 ): Yes
More Information
The solutions indicate that only the values of ( y = 5 ) and ( y = 7 ) satisfy the inequality ( y < 9 ), while ( y = 9 ) and ( y = 14 ) do not.
Tips
- Misinterpreting the inequality: It’s important to remember that ( < ) means "less than," not "less than or equal to." Some may mistakenly think ( y = 9 ) is acceptable.
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