i (imaginary unit), 119

Identities, 82, 145

Identity function, 249, 257

Identity matrix, 614

Identity property of real numbers, 12

Imaginary numbers, pure, 120

Imaginary part of a complex number, 120–121

Imaginary unit (i), 119

Impedance, 119

Improper expressions, 353

• rational, 540

Inconsistent equations, 82, 85, 86

Inconsistent inequalities, 145

Inconsistent systems of linear equations in three variables, 530

Increasing functions, 235–237

Independent systems of linear equations, 530, 531

Independent variable, 185, 215

Indexes

• different, radicals with, 66–67

• of nth roots, 64

• of summation, 722

Induction, mathematical, 752–758

Inequalities, 6–7, 144–157

• compound, 148–151

• conditional, 145

• defined, 145

• equivalent, 145

• exponential, 482–483

• inconsistent, 145

• involving absolute value, 160–163

• linear, 146–148

• logarithmic, 482–483

• nonlinear, 564

• nonnegative, 145

• quadratic, test-point method for solving, 151–152

• rational, test-point method for solving, 152–153

• solving, 145

• solving using test points, 151–153

Inequality symbols, 6, 144

Infinite geometric series, 738, 746–747

Infinite sequences, 716

Integer(s), 3

Integer exponents, 5–6, 20–21

Intercepts, 187, 190–191

• graphing linear equations using, 204–205

Interest, 94, 430–436

• compound, 431–434

• continuous compound interest formula and, 434–436

• simple, 94–95, 430–431

Interest rate, 94, 430, 434

Interindustry technology input-output matrix, 628

Intermediate Value Theorem, 338–339

• real zeros of a polynomial function and, 365

Intersections

• of intervals, 9

• of sets, 8

Interval(s), 8–9

Interval notation, 9

Inverse(s), of matricesa. See Matrix inverses

Inverse functions, 296–306

• applications of, 301–302

• finding, 298–300, 301

• verifying, 297–298

Inverse property of real numbers, 12

Inverse variation, 406–407

Investments, 454–455

• analyzing using systems of linear equations, 521–522

• annuities and, 744–745

• problems involving, modeling, 94–95

• in stock market, 551, 554–555

Irrational numbers, 4–5

Irreducible polynomials, 42, 44