There is no error in the given inequality. It is solved correctly as per the rules of solving inequalities.
What are the rules for solving inequalities?
The rules for solving inequalities are as follows:
- Adding the same quantity to each side ( no change in the sign)
- Subtracting the same quantity from each side (no change in the sign)
- Multiplying each side with the same positive quantity ( no change in the sign)
- Multiplying each side with the same negative quantity ( the sign should be reversed)
- Dividing each side with the same positive quantity ( no change in the sign)
- Dividing each side with the same negative quantity ( the sign should be reversed)
Solving the given inequality:
Given inequality is –6.1 > x + 11.3
Subtracting 11.3 from both the sides
–6.1 - 11.3 > x + 11.3 - 11.3
–17.4 > x
Therefore, x: x ∈ (-∞ -17.4)
Thus, the obtained inequality satisfies the given inequality. So, there is no error in the given work.
Learn more about solving inequalities here:
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