Appendix A Flashcards

1
Q

What is the solution set?

A

The collection of all solutions to an equation or condition.

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2
Q

What is a Union Interval?

A

Union is a set that consists of all the elements that belong to the first interval and all the elements that belong to the second one.

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3
Q

What is an Open Interval?

A

An interval that does not include the endpoints of an inequality

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4
Q

What is a Closed Interval?

A

An interval that does include the endpoints of an inequality

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5
Q

What is a Half-Open Interval?

A

An interval that includes endpoints on only one side of the inequality.

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6
Q

3 - x < 5 + 3x

A

Basic Form

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7
Q

x^2 -x ≥ 12

A

Quadratic Inequality because the equation doesn’t have an equal sign and includes the highest degree 2.

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8
Q

True/False:
When solving quadratic inequalities the objective is to get 0 on one side of the equation

A

True

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9
Q

How do you use a test case to solve a quadratic inequality?

A

Use the numbers we get from solving the initial equation after factoring and plot them on the number line to test which sections satisfy the given solution.

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10
Q

What is an absolute value?
How is it denoted?

A

An absolute value represents the [positive value] of the target number. (The distance from 0 to the number)

Denoted with vertical lines surmounting the #
| 4 |

ie. | 4 | is 4

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11
Q

When do you flip the symbol when solving an Inequality?

A

When you are multiplying or dividing by a negative number.

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