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Exercise - 6.1

Question-1 :- Solve 24x < 100, when
(i) x is a natural number.
(ii) x is an integer.

Solution :-

   

Question-2 :-  Solve – 12x > 30, when
(i) x is a natural number.
(ii) x is an integer.

Solution :-

   

Question-3 :- Solve 5x – 3 < 7, when
(i) x is an integer.
(ii) x is a real number.

Solution :-

    

Question-4 :-  Solve 3x + 8 >2, when
(i) x is an integer.
(ii) x is a real number.

Solution :-

   

Question-5 :-  Solve the inequalities : 4x + 3 < 5x + 7

Solution :-

   

Question-6 :-  Solve the inequalities : 3x – 7 > 5x – 1

Solution :-

    

Question-7 :-  Solve the inequalities : 3(x – 1) ≤ 2(x – 3)

Solution :-

   

Question-8 :-  Solve the inequalities : 3(2 – x) ≥ 2(1 – x)

Solution :-

    

Question-9 :-  Solve the inequalities : x + x/2 + x/3 < 11

Solution :-

    

Question-10 :- Solve the inequalities : x/3 > x/2 + 1

Solution :-

   

Question-11 :-  Solve the inequalities : 3(x-2)/5 ≤ 5(2-x)/3

Solution :-
 
   

Question-12 :- Solve the inequalities : (3x/5 + 4)/2 ≥ (x-6)/3

Solution :-

   

Question-13 :-  Solve the inequalities : 2(2x + 3) – 10 < 6(x – 2)

Solution :-

   

Question-14 :-  Solve the inequalities : 37 – (3x + 5) > 9x – 8(x – 3)

Solution :-

   
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