Question

the solution to an inequality is given in interval notation as (2, ∞). what is another way to represent this solution set?

Explanation:

Step1: Recall interval notation and inequality relation

Interval notation \((a,\infty)\) means \(x > a\). Here \(a = 2\), so the inequality is \(x>2\).

Step2: Analyze the number - line representations

• For \(x>2\), on a number - line, there is an open circle at \(x = 2\) (because \(2\) is not included in the solution set) and the arrow points to the right (towards larger numbers).

Answer:

The solution set can also be represented as \(x>2\) (where there is an open circle at \(2\) and the arrow points to the right on the number - line).