To solve the equation 11 = |m + 5|, we need to consider two cases: one where the expression inside the absolute value is positive, and one where it is negative.
Case 1: m + 5 is positive (m + 5 > 0)
In this case, the absolute value can be removed. Therefore, m + 5 = 11.
Solving this equation, we get m = 6.
Case 2: m + 5 is negative (m + 5 < 0)
In this case, the expression inside the absolute value sign needs to be negated. Therefore, m + 5 = -11.
Solving this equation, we get m = -16.
Therefore, the solutions to the equation 11 = |m + 5| are m = 6 and m = -16.
OA. m = 6, -16
Solve the equation. 11 = |m + 5| Select the correct choice and, if necessary, fill in the answer box in your choice below.
OA. m = (Simplify your answer. Use a comma to separate answers as needed.)
OB. There is no solution.
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