Table of Contents

## How can a test point be used to determine the solution to an inequality?

To Graph an Inequality Using a Test Point:. Graph the corresponding equation to obtain the boundary line. Choose a test point that does not lie on the boundary line. Substitute the coordinates of the test point into the inequality. If the resulting statement is true, shade the half-plane that includes the test point.

### What are the steps to solving a polynomial inequality?

How to: Solve a Polynomial Inequality.

- Step 1: Rewrite the inequality so there is a zero on the right side of the inequality.
- Step 2: Find the critical numbers.
- Step 3: Create a sign chart.
- Step 4: Use the sign chart to find the set of all values of x for which the inequality is true.

**Why can’t 0 0 be used as a test point?**

Since our test point (0, 0) made our inequality FALSE, this means it is not a solution. Since it has to be on one side or the other of the boundary line, and it is not below it, then our solution would lie above the boundary line.

**How do you find the points of inequalities?**

Plug your slope and a point into the formula y = mx + B, in which “m” is the slope, (x, y) is a point on the line and “b” is the y-intercept, to find the equation governing the inequality line.

## Why do you only need to test one point when graphing a linear inequality?

It means if one point in the region does not work then it results into false statement and if the statement is false, then the solution set is the region on the other side of the boundary line. That is why it only need to test one point to determine whether an entire region is the solution.

### How do you know when to shade above or below?

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

**What is 6x 42?**

Divide both sides by 6. Divide both sides by 6. Divide 42 by 6 to get 7.

**What is the turning point formula?**

The turning point form: y = a(x – h)2 + k.

## What is the point of a polynomial?

Polynomials are an important part of the “language” of mathematics and algebra. They are used in nearly every field of mathematics to express numbers as a result of mathematical operations. Polynomials are also “building blocks” in other types of mathematical expressions, such as rational expressions.

### What is a test point in math?

The point (0,0) is an easy point to test, as long as it is not on the line. The test point will lie in one of the half-planes formed by the boundary line. • If the test point makes the inequality true, shade that side of the line (shading over the point).