Class 12 CBSE Applied Maths Numerical Inequalities Exercise 2.3
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Solve the following (1 to 3) system of inequalities
Q1.
(i) 4-5x >-11, 4x+11 ≤ -13
(ii) 5x +1 >-24,5x-1 < 24
Solution :
Q2.
(i) -2-x/4≤1+x/3, 3-x< 4(x-3)
(ii) 5x-7 < 3(x+3),1-3x/2 ≥ x-4
Solution :
Q3.
(i) -4x +1 ≥ 0,3-4x < 0
(ii) 4x +3 ≥ 2x+17,3x-5 <-2
Solution :
Solve the following (4 to 5) system of inequalities
Q4.
(i) -8≤5x-3 < 7
(ii) -2≤6x-1< 2
Solution :
Q5.
(i) 7 ≤ 3x+11/2 ≤ 11
(ii) -5 ≤ 5-3x/2 ≤ 8
Solution :
Q6.
Solve the inequality and represent the solution on the number line:
-2/3 < -x/3 +1 ≤2/3, x eR
Solution :
Q7. Find the range of values of x, which satisfy -1/3 ≤ x/2-1 1/3 < 1/6,x &belongs; R on the real number line
Solution :
Q8. A manufacturer has 600 litres of 12% solution of acid. How many litres of 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18% acid?
Solution :
Q9. Find all pairs of consecutive odd positive integers, both of which are larger than 10 such that their sum is less than 40.
Solution :
