Answer :
To solve this question, we need to translate the statement "A random variable 'z' is less than or equal to one hundred ninety-three" into a mathematical inequality.
1. Identify the keyword: The phrase "less than or equal to" gives us a clue about the type of inequality we are dealing with.
2. Choose the correct inequality symbol:
- "Less than" alone would use the symbol `<`.
- "Equal to" would use the symbol `=`.
- "Less than or equal to" combines these ideas and uses the symbol `≤`.
3. Match it to the problem: We are given that z must be less than or equal to 193. So, the correct mathematical expression using the appropriate symbol is:
[tex]\[
z \leq 193
\][/tex]
4. Select the correct answer option: Based on this expression, we look through the given answer choices:
- [tex]$z < 193$[/tex]
- [tex]$z > 193$[/tex]
- [tex]$z \geq 193$[/tex]
- [tex]$z \leq 193$[/tex]
The correct choice is [tex]$z \leq 193$[/tex] because it directly matches the expression derived from the given statement.
Therefore, the statement "A random variable 'z' is less than or equal to one hundred ninety-three" is mathematically expressed as [tex]\( z \leq 193 \)[/tex].
1. Identify the keyword: The phrase "less than or equal to" gives us a clue about the type of inequality we are dealing with.
2. Choose the correct inequality symbol:
- "Less than" alone would use the symbol `<`.
- "Equal to" would use the symbol `=`.
- "Less than or equal to" combines these ideas and uses the symbol `≤`.
3. Match it to the problem: We are given that z must be less than or equal to 193. So, the correct mathematical expression using the appropriate symbol is:
[tex]\[
z \leq 193
\][/tex]
4. Select the correct answer option: Based on this expression, we look through the given answer choices:
- [tex]$z < 193$[/tex]
- [tex]$z > 193$[/tex]
- [tex]$z \geq 193$[/tex]
- [tex]$z \leq 193$[/tex]
The correct choice is [tex]$z \leq 193$[/tex] because it directly matches the expression derived from the given statement.
Therefore, the statement "A random variable 'z' is less than or equal to one hundred ninety-three" is mathematically expressed as [tex]\( z \leq 193 \)[/tex].
