dentify the line that contains the error in this solution and correct the work for that line.
Negative two times x plus one minus three is greater than or equal to eleven
Negative two x plus negative two minus three is greater than or equal to eleven
Negative two x plus negative five is greater than or equal to eleven
Negative two x is less than or equal to sixteen
x is less than or equal to negative eight
The 4th line is wrong. Adding 5 to both sides of the inequality does not change the direction.
The original solution is presented as a sequence of equations and inequalities. To identify the line that contains the error, we need to analyze each line and the subsequent one to check for inconsistencies.
Line 1: Negative two times x plus one minus three is greater than or equal to eleven.
This equation is correct.
Line 2: Negative two x plus negative two minus three is greater than or equal to eleven.
In this line, there seems to be a mistake with the signs. The correct expression should be -2x - 2 - 3 >= 11.
Line 3: Negative two x plus negative five is greater than or equal to eleven.
This equation is correct.
Line 4: Negative two x is less than or equal to sixteen.
This equation is correct.
Line 5: x is less than or equal to negative eight.
This equation contradicts the previous line. If -2x ≤ 16, then x ≤ -8 is not possible. Therefore, this is the line that contains the error.
To correct the work, we should reverse the inequality in line 5. The correct inequality is -2x ≥ 16, which means x ≤ -8.
Corrected Solution:
Negative two times x plus one minus three is greater than or equal to eleven
Negative two x plus negative two minus three is greater than or equal to eleven
Negative two x plus negative five is greater than or equal to eleven
Negative two x is less than or equal to sixteen
x is greater than or equal to -8.