Class XI : Worksheet for Chapter 6 -Linear inequalities

                                               MATHMATICS WORKSHEET FOR CLASSXI

                                                       CHAPTER-6(LINEAR INEQUALITIES)

Q1)SOLVE : 13x<200 ,WHEN

a)x IS A NATURAL NUMBER

b)x IS A INTEGER

c)x IS A REAL NUMBER

Q2)SOLVE  x+4<0 AND DRAW THE GRAPH OF THE SOLUTION SET.
                     x-2

Q3)SOLVE THE FOLLOWING INEQUALITIES :

a)I4-xI + 1 <3

b)-5≤ 2-3x  ≤9.
            4

c)3x-6 ≥ 0  ,4x -10≤ 6

d) ≥  ,   <

e)││>1 , x≠4

Q4)SOLVE GRAPHICALLY:

A)2Y-5<0

B)X+2Y≥ 3, 3X +4Y ≥ 12, X≥ 0 ,Y≥ 0

C)2x +Y-3≥0 , X-2Y+1≤0 ,X≥0 ,Y≥0

D)  Y-2x≤1 ,x≤2 ,x+y ≤3 ,x ≥0 ,y≥0

Q5)A COMPANY MANUFACTURES CASSETTES AND ITS COST EQUATION FOR A WEEK IS C=300+1.5 X,AND ITS REVENUE EQUATION IS R+ 2X , WHERE X IS THE NUMBER OF CASSETTES SOLD IN A WEEK. HOW MANY CASSETTES MUST BE SOLD FOR THE COMPANY TO REALIZE A PROFIT?

Q6)THE WATER ACIDITY IN A POOL IS CONSIDERD NORMAL WHEN THE AVERAGE READING DAILY MEASUREMENT BETWEEN 7.2 AND 7.8 .IF THE READING ARE 7.48 AND 7.85 FIND THE RANGE OF READING VALUE FOR THIRD READING THAT WILL RESULT IN THE ACTUAL LEVEL BEING NORMAL