Karnataka Board PUCPUC Science Class 11

Inequalities - Introduction

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Definition

Two real numbers or two algebraic expressions related by the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form an inequality. 
3 < 5;  7 > 5 are the examples of numerical inequalities while
 x < 5; y > 2; x  ≥  3,  y ≤  4 are some examples of  literal inequalities.
3 < 5 < 7 (read as 5 is greater than 3 and less than 7), 3 <  x < 5 (read as x is greater than or equal to 3 and less than 5) and 2 < y < 4 are the examples of double inequalities.
In this Chapter, we shall confine ourselves to the study of linear inequalities in one and two variables only.

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