number problems in college algebra

A real number line can be used to represent the solution set of an inequation (Linear). The convention is that O (a hollow circle) marks the end of a range with a strict inequality (i.e. < or >) and (a darkened circle) marks the end of a range involving equality as well as inequa..

If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 i..

Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers...

Conclusion - Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the ..

Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. Then a polynomial can be used to define a function with x or y or any letter of the alphabet. The coefficient of the polynomial may belong to any system of numbers..

If any number is added to both sides of an equation, then the equality of the equation remains unchanged. i.e., if x = y then x + a = y ..

Rectangular axes - The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is ca..

In this section, you will learn how so solve inequalities. "Solving" an inequality means finding all of its solutions. A "solution" of an inequality is a number which when substituted for the variable makes the inequality a true statemen..

Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..

Let a be a real number. Then for a positive real number δ>0 the interval (a- δ, a+ δ) is called the neighborhood of a. The interval (a- δ, a) is called a left hand neighborhood of a, and (a, a+ δ) is a right hand neighborhood of a. If x (a, a..