To determine which number is the greatest among the given choices, let's analyze each one:
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The number of solutions to \( z \neq 77 \): This is infinite because there are infinitely many values that \( z \) can take that are not equal to 77.
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The number of atoms in your body: A rough estimate is about 7 x 10²⁷ atoms (this can vary based on body size, but it's a theoretical average).
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The number of people in the world: As of 2023, the world population is estimated to be around 8 billion, or 8 x 10⁹ people.
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The number of inches light travels in a year: The speed of light is about 6.3 x 10¹² inches/year.
Now let's compare these:
- The number of solutions to \( z \neq 77 \) is infinite.
- The number of atoms in your body is on the order of 10²⁷.
- The number of people in the world is on the order of 10⁹.
- The number of inches light travels in a year is approximately 6.3 x 10¹².
The number of solutions to \( z \neq 77 \), being infinite, is indeed the greatest among the choices.