Question $-|-2 r-1|=11$

Studdy Solution

STEP 1

1. The equation involves an absolute value and a negative sign.
2. We need to isolate the absolute value expression and solve for $r$ .

STEP 2

1. Isolate the absolute value expression.
2. Solve the absolute value equation.
3. Solve for $r$ .

STEP 3

First, we need to isolate the absolute value expression. Notice that the equation is:
$-|-2r - 1| = 11$
To remove the negative sign in front of the absolute value, multiply both sides by $-1$ :
$|-2r - 1| = -11$

STEP 4

Now, observe that the absolute value expression cannot be equal to a negative number. Absolute values are always non-negative. Therefore, the equation:
$|-2r - 1| = -11$
has no solution because an absolute value cannot equal a negative number.
Since the equation has no solution, there is no value of $r$ that satisfies the equation.

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