Graphical Solution Of Inequality In Two Variables

CONTENT

            -Revision of Linear Equation in Two Variables.

            -Graphical Representation of Inequalities in Two Variables.

            -Graphical Solution of Simultaneous Inequality in Two Variables.

Evaluation

Solve  graphically  for  integral  values  of  x  and  y

y ≥ 1 , x – y ≥ 1 and 3x + 4y ≤ 12

GENERAL EVALUATION/REVISION QUESTIONS

Solve graphically the simultaneous inequalities

1. If  (i) x + 3y≤ 12     (ii) y ≥-1          (iii) x > -2 for integral values of x and y

2.y  is  such  that   4y – 7 ≤ 3y and 3y≤5y + 8  

a)What  range  of  values  of  y  satisfies both  inequalities?

b)Hence  express  4y – 7 ≤  5y + 8 in the form a ≤ y ≤ b,where a and b are both integers

3.If 65x²+x-10=0 find the values of x

4. Solve the equations 2^x+y=1 and 25^x-y = 125 simultaneously

READING ASSIGNMENT

New General Mathematics SSS2, pages 98-111, exercise10e.