Solution Set Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
What is the solution set of x+3>5x + 3 > 5?

Solution

  1. 1
    Solve: x>2x > 2.
  2. 2
    The solution set is all real numbers greater than 2.
  3. 3
    In set notation: {x∈R∣x>2}\{x \in \mathbb{R} \mid x > 2\} or interval (2,∞)(2, \infty).

Answer

(2,∞)(2, \infty)
Inequalities have infinite solution sets described by intervals. Every number greater than 2 is in the solution set.

About Solution Set

The complete set of all values that satisfy a given equation or inequality — it may be empty, finite, or infinite.

Learn more about Solution Set →

More Solution Set Examples

Example 1 easy

What is the solution set of [formula]?

Example 3 easy

What is the solution set of [formula]?

Example 4 medium

What is the solution set of [formula] over the real numbers?

← All Solution Set Examples Solution Set Concept