Q. Solve for w.0=−9∣w∣Write your answers as integers or as proper or improper fractions in simplest form.w=_____ or w=_____
Understand the equation: Understand the equation 0=−9∣w∣.We need to find the value of w such that when we take the absolute value of w and multiply it by −9, the result is 0.
Isolate the absolute value: Isolate the absolute value |w|\(\newline). Divide both sides of the equation by \$-9\) to get the absolute value by itself. \(\newline\)\(0 / -9 = (-9|w|) / -9\)\(\newline\)\(0 = |w|\)
Solve for \(w\): Solve for \(w\).\(\newline\)The absolute value of a number is always non-negative, and the only number whose absolute value is \(0\) is \(0\) itself.\(\newline\)Therefore, \(|w| = 0\) implies that \(w = 0\).