0 ____ −7/6a)=b)<c)>d)None of theseCorrect answer is optio...
0 is greater than any negative number.
-7/6 is a negative number, so 0 is greater than -7/6.
Therefore, the correct symbol to fill in the blank is <, since 0 is less than -7/6 when placed in the order.
The correct symbol is <, and the answer is Option B: <.
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0 ____ −7/6a)=b)<c)>d)None of theseCorrect answer is optio...
Understanding the Equation
To solve the equation 0 - 7/6a = b, we need to isolate 'a' in terms of 'b'.
Step-by-Step Solution
- Start with the equation:
0 - 7/6a = b
- This simplifies to:
-7/6a = b
- To isolate 'a', multiply both sides by -6/7 to eliminate the fraction:
a = -6/7 * b
Identifying the Correct Option
Now, let's analyze the options provided:
- a) < 0="" (this="" implies="" 'a'="" is="" negative)="" />
- b) > 0 (This implies 'a' is positive)
- c) a = -6/7 * b (This directly corresponds to our derived equation)
- d) None of these (This means none of the options are correct)
Since we arrived at the expression for 'a' being -6/7 times 'b', this means:
- If 'b' is positive, 'a' will be negative.
- If 'b' is negative, 'a' will be positive.
Therefore, the correct answer is option 'C' because it matches the derived relationship between 'a' and 'b'.
Conclusion
In conclusion, by isolating 'a' in the equation, we established that 'a' is directly related to 'b' through the factor of -6/7. Hence, the correct answer is option 'C'.
0 ____ −7/6a)=b)<c)>d)None of theseCorrect answer is optio...
0 is greater because 0 is greater in any negative rational number