Question

The open point on the number line is the boundary point of the graph. Is the boundary point a solution of x + 5 > 2?

a) True
b) False

Answer 1

The boundary point represented by an open point on the number line is not a solution to the inequality x + 5 > 2, making the correct answer b) False.

Step-by-step explanation:

The question asks whether the boundary point represented by an open point on the number line is a solution to the inequality x + 5 > 2.

To determine this, we first solve the inequality:

x + 5 > 2

x > -3

This inequality means that all numbers greater than -3 are solutions. The boundary point -3 is not included as a solution since it is represented by an open point, which signifies that this endpoint is not part of the solution set. Thus, the boundary point is not a solution to the inequality. The correct answer is b) False.