Solving Absolute Value Equations and Inequalities Let k be a positive real number, and p and q be real numbers. 1. To solve │ ax + b│=k, solve…
Tag: Inequalities
Solve applied problems using linear inequalities
Solve applied problems using linear inequalities In addition to the familiar “is less than” and “is greater than,” other expressions such as “is no more than” and “is at…
Solve linear inequalities with three parts
Solve linear inequalities with three parts For some applications, it is necessary to work with an inequality such as 3 < x + 2 < 8, where x +…
Linear Inequalities in One Variable
Linear Inequalities in One Variable Linear Inequality A linear inequality in one variable can be written in the form Ax +B < c, Where A,B, and C are real…
Rational Inequalities
Rational Inequalities We adapt the preceding method when an inequality involves rational expressions. We call these rational inequalities. To solve a rational inequality: a. Change the inequality symbol to…
Quadratic and Other Polynomial Inequalities
Quadratic and Other Polynomial Inequalities Inequalities like the following are called quadratic inequalities: x2 + 3x – 10 < 0, 5×2 – 3x + 2 ≥ 0. In each…
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