Question:
Which of the following is true?
Given inequality: \(2x+6>16\)
Which of the following is true?
Given inequality: \(2x+6>16\)
Given inequality: \(2x+6>16\)
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Always isolate \(x\) in inequalities before interpreting the relationship.
Updated On: Oct 3, 2025
- The relationship between the quantities cannot be determined.
- Quantity B is larger.
- Quantity A is larger.
- The two quantities are equal in size.
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The Correct Option is C
Solution and Explanation
Step 1: Solve the inequality.
\(2x+6>16 \implies 2x>10 \implies x>5\).
Step 2: Interpret.
This means all valid \(x\) values are greater than 5.
Step 3: Compare with options.
Clearly, Quantity A (\(2x+6\)) is larger than 16 once inequality is satisfied.
Final Answer: \[ \boxed{\text{Quantity A is larger.}} \]
\(2x+6>16 \implies 2x>10 \implies x>5\).
Step 2: Interpret.
This means all valid \(x\) values are greater than 5.
Step 3: Compare with options.
Clearly, Quantity A (\(2x+6\)) is larger than 16 once inequality is satisfied.
Final Answer: \[ \boxed{\text{Quantity A is larger.}} \]
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