Question

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

A point defines the boundary of an open half-plane.

Short answer

The given sentence is False.

The true sentence isA line defines the boundary of an open half-plane.

Step-by-step solution

Step 1. State whether the given sentence is true or false.

When the inequality is converted into equality, equation is obtained and when the equation is graphed then the equation defines the boundary and the boundary divides the coordinate plane into two half planes.

The given sentence is false because a point does not define the boundary whereas a line defines the boundary of an open half-plane.

Step 2. Write the true sentence.

The true sentence is a line defines the boundary of an open half-plane.