Solve the inequality 4x>10

. Which of the following graphs shows the solution?(1 point)
Responses

Skip to navigation

1 answer

To solve the inequality \(4x > 10\), we can divide both sides by 4:

\[ x > \frac{10}{4} \]

Simplifying \(\frac{10}{4}\) gives us:

\[ x > 2.5 \]

The solution to the inequality \(x > 2.5\) means that we are looking for all values of \(x\) that are greater than 2.5.

In terms of a graph, this would be represented as a number line where:

  • A point is marked at \(2.5\).
  • An open circle or a hollow dot is drawn at \(2.5\) to indicate that \(2.5\) is not included in the solution.
  • A line or arrow extends to the right from \(2.5\), showing that all values greater than \(2.5\) are included in the solution.

If you have specific graphs to choose from, look for the one with these characteristics to select the correct representation of the solution.