Real Numbers - Introduction

Number System- Introduction

If a_1,a_2 …. a_n are positive real numbers whose product is a fixed real number c, then the minimum value of 1+a_1 +a_2 +….. + a_(n-1) + a_n is :

Explain briefly the plant introduction.

State whether the following statements are true or false. Justify your answers, (i) Every irrational number is a real number.(ii) Every point on the number line is of the form sqrt(m) , where m is a natural number.(iii) Every real number is an irrational number.

The number of real solutions of the equation e^x=x is

The number of real solutions of the equation x-sinx=0, is

The number of real solutions of the equation 1-x = [cosx] is

For each of the following compound statements, first identify the connective words and then break it into component statements. All rational numbers are real and all real numbers are not complex.

Acid Base and Salt Introduction

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is