Question

question 8 of 10 (1 point) | question attempt: 1 of unlimited solve the equation and inequalities. for each inequality, graph the solution set and express the solution in interva (a) |w - 2| = 0 (b) |w - 2| > 0 (c) |w - 2| < 0 part: 0 / 4 part 1 of 4 (a) the solution set for |w - 2| = 0 is . (□,□) □,□ (□,□ □,□) ∞ -∞ ∪ ∩ ()

Explanation:

Step1: Recall absolute value definition

The absolute value equation \(|x| = a\) (where \(a\geq0\)) means \(x = a\) or \(x=-a\). For \(|w - 2|=0\), we set the expression inside the absolute value equal to 0.
\[w - 2 = 0\]

Step2: Solve for \(w\)

Add 2 to both sides of the equation:
\[w=2\]
In interval notation, a single point \(w = 2\) is represented as \(\{2\}\) or in the boxed form as \(\boxed{2}\) (but since the problem might expect interval notation for a single point, it can also be written as \([2,2]\)).

Answer:

\([2, 2]\) (or \(\{2\}\), but in the context of interval options given, \([2,2]\) is appropriate)