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# Solutions for Chapter 2.7: Nonlinear Inequalities

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 2.7: Nonlinear Inequalities

Solutions for Chapter 2.7
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##### ISBN: 9780618643448

Since 90 problems in chapter 2.7: Nonlinear Inequalities have been answered, more than 40122 students have viewed full step-by-step solutions from this chapter. Chapter 2.7: Nonlinear Inequalities includes 90 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Arccosecant function

See Inverse cosecant function.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Complex fraction

See Compound fraction.

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Empty set

A set with no elements

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Gaussian curve

See Normal curve.

• Identity

An equation that is always true throughout its domain.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Symmetric property of equality

If a = b, then b = a

• Third quartile

See Quartile.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k