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If x is an integer and 2.134 x 10x is less than 210,000, what is the greatest possible value for x?
  • a)
    7
  • b)
    6
  • c)
    5
  • d)
    4
  • e)
    3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If x is an integer and 2.134 x 10x is less than 210,000, what is the g...
Step 1: Analyze the Question
We know two things about x: it's an integer, and 2.134 x 10% < 210,000. 
Step 2: State the Task
Find the greatest possible value for X. 
Step 3: Approach Strategically
To multiply a decimal quantity by 10%, move the decimal point x places to the right. For 2.134, moving the decimal point 5 places to the right results in the number 213,400. That's just over the limit of 210,000, so the maximum value of x is 4. The correct answer is (D). 
Step 4: Confirm Your Answer
A great way to confirm the answer on this type of question is to write the number down on your noteboard before counting the number of decimal places to move.
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Most Upvoted Answer
If x is an integer and 2.134 x 10x is less than 210,000, what is the g...
Given Information:
x is an integer and 2.134 x 10x is less than 210,000.

Approach:
To find the greatest possible value for x, we need to solve the inequality 2.134 x 10x < />

Solving the Inequality:
2.134 x 10x < />
21.34 x 10x < />
213.4 x < />
x < 210,000="" />
x < />

Finding the Greatest Possible Value for x:
Since x is an integer, the greatest possible value for x is the largest integer less than 984.4237, which is 4.

Therefore, the greatest possible value for x is 4.

So, the correct answer is option 'D'.
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If x is an integer and 2.134 x 10x is less than 210,000, what is the greatest possible value for x?a)7b)6c)5d)4e)3Correct answer is option 'D'. Can you explain this answer?
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