Question:
The solution set for $-12x > 38$, where $x$ is a natural number, is ________.
The solution set for $-12x > 38$, where $x$ is a natural number, is ________.
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Remember: natural numbers are only positive integers.
Updated On: Jun 26, 2026
- $\{1,2,3\}$
- $\{1,2\}$
- $\{1\}$
- empty set
- $\{-1,-2,-3\}$
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Solve the linear inequality and check against the set of natural numbers $\mathbb{N} = \{1, 2, 3, \dots\}$.
Step 2: Meaning
$-12x > 38 \implies x < -\frac{38}{12} \implies x < -3.16$.
Step 3: Analysis
The values of $x$ must be less than $-3.16$.
Step 4: Conclusion
Since no natural number is less than $-3.16$, the solution set is the empty set. Final Answer: (D)
Solve the linear inequality and check against the set of natural numbers $\mathbb{N} = \{1, 2, 3, \dots\}$.
Step 2: Meaning
$-12x > 38 \implies x < -\frac{38}{12} \implies x < -3.16$.
Step 3: Analysis
The values of $x$ must be less than $-3.16$.
Step 4: Conclusion
Since no natural number is less than $-3.16$, the solution set is the empty set. Final Answer: (D)
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