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Answer :
To determine which number is not a solution to the inequality [tex]\( x < 7.05 \)[/tex], we need to check each given number against this inequality:
1. 7.5: Check if [tex]\( 7.5 < 7.05 \)[/tex].
- Since 7.5 is greater than 7.05, it does not satisfy the inequality. Therefore, 7.5 is not a solution.
2. -7.5: Check if [tex]\( -7.5 < 7.05 \)[/tex].
- Since [tex]\(-7.5\)[/tex] is less than 7.05, it satisfies the inequality.
3. -7.05: Check if [tex]\(-7.05 < 7.05\)[/tex].
- Since [tex]\(-7.05\)[/tex] is also less than 7.05, it satisfies the inequality.
4. 7: Check if [tex]\( 7 < 7.05 \)[/tex].
- Since 7 is less than 7.05, it satisfies the inequality.
After analyzing each number, we find that:
- 7.5 is the only number that does not satisfy the inequality [tex]\( x < 7.05 \)[/tex].
Therefore, the correct answer is 7.5.
1. 7.5: Check if [tex]\( 7.5 < 7.05 \)[/tex].
- Since 7.5 is greater than 7.05, it does not satisfy the inequality. Therefore, 7.5 is not a solution.
2. -7.5: Check if [tex]\( -7.5 < 7.05 \)[/tex].
- Since [tex]\(-7.5\)[/tex] is less than 7.05, it satisfies the inequality.
3. -7.05: Check if [tex]\(-7.05 < 7.05\)[/tex].
- Since [tex]\(-7.05\)[/tex] is also less than 7.05, it satisfies the inequality.
4. 7: Check if [tex]\( 7 < 7.05 \)[/tex].
- Since 7 is less than 7.05, it satisfies the inequality.
After analyzing each number, we find that:
- 7.5 is the only number that does not satisfy the inequality [tex]\( x < 7.05 \)[/tex].
Therefore, the correct answer is 7.5.
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