Q1.
Solve the inequality
when
(i) is a natural number, (ii)
Q2.
Solve the inequality
when
(i) is an integer, (ii)
Q3.
is an integer.
Solve
(i)
is a real number.
when
, (ii)
In each case, represent the solution set on the number line.
Q4.
Fill in the blanks with correct inequality signs:
(i)
(ii)
(iii)
Q5.
Solve:
Q6.
Solve
Q7.
Solve:
Q8.
Solve:
Q9.
The IQ of a person is given by the formula
, where
. If
range of their mental age.
year old children, find the
and represent the solution set on the number line.
.
for a group of
Q10.
Solve:
Q11.
Solve:
Q12.
Solve graphically
Q13.
Solve graphically
Q14.
Solve:
Q15.
Solve graphically
Q16.
Solve the following system of inequalities graphically:
© Copyright 2011 - 12 Educomp Solutions Ltd.
and
.
and represent the solution set on the number line.
in a two dimensional plane.
in a two dimensional plane.
.
Page 1 of 4
Q17.
Solve:
Q18.
The marks obtained by a student in two test were
. Find the minimum
number of marks he should get in the third test to have an average of atleast
marks.
Q19.
To be placed under first division, one must obtain an average of
marks or more.
If the marks obtained by a student in four examinations be
. Find the
minimum marks that the student must obtain in fifth examination so that he may
obtain first divison.
Q20.
Solve:
.
Answers
A1.
(i)
A2.
(i)
(ii)
(ii)
A3.
(i)
(ii)
A4.
(i)
(ii)
(iii)
A5.
A6.
A7.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 2 of 4
A8.
A9.
.
A10.
A11.
A12.
A13.
A14.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 3 of 4
A15.
A16.
A17.
A18.
.
A19.
.
A20.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 4 of 4