1. solve the inequation 3x-11<3, where x belongs to (1,2,3,....,10). also represent its solution on a number line.

2. solve 2(x-3) < 1, x belongs to {1,2,3,....,10}.

3. solve 5 - 4x > 2 - 3x, x belongs to W. also represent its solution on the number line.

4. list the solution set of 30 - 4(2x - 1) < 30, given that x is a positive integer.

5. solve 2(x - 2) < 3x - 2, x belongs to {-3,-2,-1,0,1,2,3}.

6. if x is a negative integer, find the solution  set of 2/3+1/3(x+1) > 0.

7. solve x-3(2+x) > 2(3x-1), x belongs to {-3,-2,-1,0,1,2}. also represent its solution on number line.

8. given x belongs to {1,2,3,4,5,6,7,8,9}, solve x - 3 < 2x - 1.

9. list the solution set of the inequation 1/2+8x > 5x - 3/2, x belongs to Z.

10. list the solution set of 11-2x/5 is greater or equal to 9-3x/8+3/4, x belongs to N.

11. find the value of x, which satisfy the inequation :

     -2 is smaller than or equal to 1/2-2x/3 is smaller than or equal to 11/6, x belongs to N. graph the solution on number line.

12. if x belongs to W, find the solution set of 3/5x - 2x-1/3 > 1. also graph the number line, if possible.

13. solve:

           (a) x/2 + 5 is smaller than or equal to x/3+6, where x is a positive odd integer.

            (b) 2x+3/3 is greater than or equal to 3x-1/4, where x is a positive even integer.

14. given that x belongs to I, solve the inequation and graph the solution on the number line:

                3 is greater than or equal to x-4/2+x/3 is greater than or equal to 2.

15. solve 1 is greater than or equal to 15-7x > 2x * 27, x belongs to N.

 

Asked by yadav.divya3112 | 29th Apr, 2020, 12:06: PM

Expert Answer:

1. 3x-11<3 
3x-11+11<3+11
3x<14
3x/3<14/3
x<4.66
x=1,2,3,4
 
2. 2(x-3)<1
2x-6<1
2x-6+6<1+6
2x<7
2x/2<7/2
x<3.5
x=1,2,3
 
3. 5-4x>2-3x
5-4x+4x>2-3x+4x
5>2+x
x+2<5
x+2-2<5-2
x<3
x=0,1,2
 
4. 30 - 4(2x - 1) < 30
30-8x+4<30
34-8x<30
34-8x+8x<30+8x
34<30+8x
30+8x>34
30+8x-30>34-30
8x>4
8x/8>4/8
x>1/2
x>0.5
x=1, 2, 3, 4, 5, ....

Answered by Renu Varma | 29th Apr, 2020, 12:53: PM