
Inequalities (Algebra)A system of linear inequalities can have none, one, or an infinite number of solutions; therefore, there are three. In order for a number to be a solution to a linear inequality it must satisfy all...

Inequalities (Algebra)The inequality x*(3x1)<4 has to be solved. x*(3x1)<4 => 3x^2  x < 4 => 3x^2  x  4 < 0 => 3x^2  4x + 3x  4 < 0 => 3x(x + 1)  4(x + 1) < 0 => (3x  4)(x + 1)...

Inequalities (Algebra)First find the critical values of x which means use each of the factors (the brackets) and make each one = 0 because the equation has 0 on the one side. Get values for x as follows: (5  x)^3 = 0...

Inequalities (Algebra)Let us equate the f(x) equal to zero,to find all the zeros of the given polynomial, hence, f(x) = 0: x^327 = 0 We can use the formula below to factor the lefthand side. a^3  b^3 = (a  b)(a^2 +...