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Chapter 5: Q7. (page 322)

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

The boundary is the graph of the equation of the line that defines the edge of each half-plane.

Short Answer

Expert verified

The given sentence is True.

Step by step solution

01

Step 1. Define half-plane and boundary..

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.

If the boundary is included in the graph of an inequality then the solution is called closed half-plane.

If the boundary is not included in the graph of an inequality then the solution is called open half-plane.

02

Step 2. State whether the given sentence is true or false.

The given sentence is true because the boundary is the graph of the equation of the line that defines the edge of each half-plane.

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Most popular questions from this chapter

Solve each inequality. Check your solution.

7w≤−42

Which absolute value equation has the graph below as its solution?

A|x−3|=11

Brole="math" localid="1647499787438" |x−4|=12

C|x−11|=3

D|x−12|=4

Solve each inequality. Then graph the solution set on a number line.

5≥7+y

Solve each inequality. Then graph it on a number line.

y+1≤8

Solve each compound inequality. Then graph the solution set.

3x+2≤11or5x−8>22
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