Answer :
Sure! Let's look at the equation [tex]\( |x| = -7 \)[/tex].
1. Understand the Concept of Absolute Value:
- The absolute value of a number is its distance from zero on the number line, regardless of direction. This means it's always non-negative.
- Therefore, the smallest value that [tex]\( |x| \)[/tex] can be is 0, and it can never be negative.
2. Applying this to the Equation:
- The given equation is [tex]\( |x| = -7 \)[/tex].
- Since the absolute value cannot be negative, there are no real numbers [tex]\( x \)[/tex] that can satisfy this equation.
3. Conclusion:
- There are no solutions to the equation [tex]\( |x| = -7 \)[/tex].
Therefore, the correct choice is "None."
1. Understand the Concept of Absolute Value:
- The absolute value of a number is its distance from zero on the number line, regardless of direction. This means it's always non-negative.
- Therefore, the smallest value that [tex]\( |x| \)[/tex] can be is 0, and it can never be negative.
2. Applying this to the Equation:
- The given equation is [tex]\( |x| = -7 \)[/tex].
- Since the absolute value cannot be negative, there are no real numbers [tex]\( x \)[/tex] that can satisfy this equation.
3. Conclusion:
- There are no solutions to the equation [tex]\( |x| = -7 \)[/tex].
Therefore, the correct choice is "None."
