High School

What is the solution set, expressed in interval notation, for the equation \(2x - 101.2 = 0\)?

A) (50.6, 50.6)

B) [50.6, 50.6]

C) (-50.6, 50.6)

D) \((-∞, ∞)\)

Answer :

Final answer:

The equation 2x−101.2=0 can be solved to find that x = 50.6. This means the solution set, in interval notation, is [50.6,50.6]. The square brackets indicate that 50.6 is included in the solution.

Explanation:

The subject of this question is mathematics, particularly the topic of solving for x in an equation. In this case, the equation in question is 2x−101.2=0.

To solve for x, we add 101.2 to both sides of the equation, eliminating the subtraction on the left side and leaving us with 2x = 101.2. We then divide both sides by 2, resulting in x = 50.6.

The solution set for this equation, expressed in interval notation, is [50.6,50.6]. This is because x can only be one, specific number (50.6), and the square brackets in interval notation mean that the endpoints of the interval are included in the solution set.

Learn more about Interval Notation here:

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