Inequalities Class-7 RS Aggarwal ICSE Maths Goyal Brothers Chapter-15 Solutions. We provide step by step Solutions of Exercise / lesson-15 Inequalities for ICSE Class-7 RS Aggarwal Mathematics.
Our Solutions contain all type Questions with Exe-15 A, MCQs Exe-15 B with Mental Maths to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.
Board | ICSE |
Publications | Goyal brothers Prakshan |
Subject | Maths |
Class | 7th |
Chapter-15 | Inequalities |
Writer | RS Aggrawal |
Book Name | Foundation |
Topics | Solution of Exe-15 A, MCQs Exe-15 B with Mental Maths |
Academic Session | 2021-2022 |
Inequalities Class-7 RS Aggarwal ICSE Maths Goyal Brothers Chapter-15 Solutions
-: Select Topic :-
Linear Inequation
When two expressions are connected by “greater than” or “less than” sign, we get an inequality. Also, the linear inequation is similar to a linear equation, where the equal to sign is replaced by the inequality sign. Note that although only the < symbol is shown in this list, these same rules apply to any inequality, including >, ≤, and ≥.
Rules of Linear Inequalities
The following list shows all the rules you need to know when performing operations on inequalities.
- If a < b, then a + c < b + c. Adding the same number to each side of an inequality does not change the direction of the inequality symbol.
- If a < b, then a – c < b – c. Subtracting the same number from each side of an inequality does not change the direction of the inequality symbol.
- If a < b and if c is a positive number, then a · c < b · c.
Multiplying each side of an inequality by a positive number does not change the direction of the inequality symbol. - If a < b and if c is a positive number, then
Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol. - If a < b and if c is a negative number, then a · c > b · c.
Multiplying each side of an inequality by a negative number reverses the direction of the inequality symbol.
- If a < b and if c is a negative number, then
Dividing each side of an inequality by a negative number reverses the direction of the inequality symbol.
Replacement Set
The set, from which the values of the variable which involved in the inequation, are chosen, is known as replacement set.
Solution Set
A solution to an inequation is a number chosen from the replacement set which, satisfy the given inequation
Exe-15 A,
Inequalities Class-7 RS Aggarwal ICSE Maths Goyal Brothers
Page 168
Question 1:
If x ∈ {-2, -1, 0, 1, 2, 3, 4, 5}, find the solution set of each of the following inequations :
(i) 2x > 5
(ii)……………
Question 2:
…………………….
……………………….
……………………..
Question 5:
Find the solution set of each of the following inequations :
(i) 2 < x -3 < 7, x ∈ N
(ii)…………..
………………
MCQs Exe-15 B,
Inequalities Class-7 RS Aggarwal ICSE Maths Goyal Brothers
Page 168
Choose the correct option in each of the following
Question 1:
If a > b and m < 0, then which of the following is correct :
(a) am < bm
(b)…………
…………..
Question 2:
………………….
……………………
……………………
Question 5: which one of the following statements is incorrect ?
(a) If a < b, then a – m < b – m
(b)………………
……………………
Mental Maths
–: End of Inequalities Class-7 RS Aggarwal Solutions :–
Page 169
Question 1:
Fill in the blanks :
(i) A statement of ………………
(ii) The ………………
(iii) …………………
(iv) …………….
(v) …………….
Answer :
(i) Inequation
(ii) replacement set.
(iii) Solution set.
(iv) reverses
(v) (1/b)> (1/b)
Question 2:
Write true (T) or false (F) :
(i) 2/3 x – …………….
(ii) If a < b and ……………..
(iii) ……………….
(iv)………….
(v)………….
Answer :
(i) True
(ii) False
(iii) True
(iv) True
(v) False
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