Find the solution set for the equation.
|x + 6| = 0
x+6=0 -6 -6 x=-6
x simply has to be -6 as I think Mike said.
k hi howdy
To find the solution set for the equation |x + 6| = 0, we first need to understand the concept of absolute value. The absolute value of a number is its distance from zero on the number line, regardless of its sign. Since the absolute value of any number is always non-negative, it can never be equal to zero unless the expression inside the absolute value bars equals zero.
In this equation, |x + 6| = 0, we know that the absolute value is equal to zero. This means that the expression inside the absolute value bars, x + 6, must also equal zero. So, we can set up the equation:
x + 6 = 0
Now, we can solve for x. Subtract 6 from both sides of the equation:
x = -6
Therefore, the solution set for the equation |x + 6| = 0 is x = -6.