To compare the four choices, let's examine each one in context:
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The number of atoms in your body: The average human body is estimated to contain about \(7 \times 10^{27}\) atoms.
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The number of solutions to \(z \neq 77\): In the context of real numbers, \(z\) can take any value except 77, which means there are infinitely many solutions.
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The number of inches light travels in a year: Light travels at a speed of approximately 299,792,458 meters per second. To convert that to inches and calculate its distance over a year:
- Light travels approximately \(9.461 \times 10^{15}\) meters in a year.
- There are 39.37 inches in a meter, so light travels about \(9.461 \times 10^{15} \times 39.37 \approx 3.74 \times 10^{17}\) inches in a year.
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The number of people in the world: As of late 2023, the estimated global population is around 8 billion, or \(8 \times 10^{9}\).
Summary:
- Number of atoms in your body: \(7 \times 10^{27}\)
- Number of solutions to \(z \neq 77\): Infinity (∞)
- Number of inches light travels in a year: approximately \(3.74 \times 10^{17}\)
- Number of people in the world: \(8 \times 10^{9}\)
Conclusion:
The greatest among these choices is the number of solutions to \(z \neq 77\), which is infinite.