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# Solutions for Chapter 7.5: Systems of Inequalities

## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845

Solutions for Chapter 7.5: Systems of Inequalities

Solutions for Chapter 7.5
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##### ISBN: 9780321559845

Since 118 problems in chapter 7.5: Systems of Inequalities have been answered, more than 67932 students have viewed full step-by-step solutions from this chapter. Chapter 7.5: Systems of Inequalities includes 118 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• 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.

• Acute angle

An angle whose measure is between 0° and 90°

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Closed interval

An interval that includes its endpoints

• Expanded form

The right side of u(v + w) = uv + uw.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Imaginary axis

See Complex plane.

• nth root of a complex number z

A complex number v such that vn = z

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Quotient polynomial

See Division algorithm for polynomials.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• System

A set of equations or inequalities.

• Transformation

A function that maps real numbers to real numbers.

• Vertex of a cone

See Right circular cone.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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