what does and mean in an algebraic expression

(i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy means x = 2y. (i) x = ..

: If aRb then bRa. Let a be brother of b then b may not be brother of a, because b may be sister of a. False. Note:- When any one property is not satisfied we say that the relation is not an equivalence relation. Example 11:- Let A = {members of a family}. The relation R means 'is the fat..

(x) find (i) f(2) (ii) (iii) (iv) x when . (i) [f(2) means find the value of y when x = 2]. (ii) (iii) (i..

121x 2 - 25y 2 = (11x) 2 - (5y) 2 = (11x + 5y) (11x - 5y) [Using the identity a 2 -b 2 =(a-b)(a+b)] Factorise: (5a + 6b) 2 - 49b 2 Let x = 5a + 6b Then the given expression = (x) 2 - (7b) 2 = (x + 7b) (x - 7b) Re-substituting the value of x, we get = [(5a + 6b + 7b)] [(5a +..

If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expressions..

Factorization - If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial.If a polynomial can be written as the product of two or more expressions, then each expression is calle..

If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial..

Trinomials - Expressions of the form ax 2 + bx + c are called trinomialsExpressions of the form ax 2 + bx + c are called trinomi..

The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..

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..