Real Numbers – Maharashtra Board Class 9 Solutions for Algebra
Exercise – 2.1
Solution 1:

Solution 2(i):

Solution 2(ii):

Solution 2(iii):

Solution 2(iv):

Solution 2(v):

Solution 2(vi):

Solution 2(vii):

Solution 3(i):

Solution 3(ii):

Solution 3(iii):

Solution 3(iv):

Solution 3(v):

Exercise – 2.2
Solution 1:

Solution 2:


Solution 3:
i. x > 2 ; y < 2
x > 2
∴2 < x
But y < 2 and 2 < x
∴y < 2 < x
∴x > y
ii. x = 4 ; 4 < y
x = 4
But 4 < y
∴x < y
iii. x > -3 ; -6 > y
x > -3 and y < -6
y < x
∴x > y
iv. -x = 5 ; -5 < y
x = -5 and y > -5
Substituting -5 for x
∴y > x
∴x < y
x > 5 ; y < -5
v. x > 5 and y < -5
∴x > y
Solution 4:

Draw a number line.
Mark a point O representing zero.
Take a point OA such that OA = 1.
Now draw a perpendicular line segment AB to OA, such that AB = 1.
Join the points O and B.




Solution 5:


Solution 6:

Solution 7:


Solution 8:

Exercise – 2.3
Solution 1:



Solution 2:

Solution 3:

Solution 4:

Solution 5:


Solution 6:

Exercise – 2.4
Solution 1:




Exercise – 2.5
Solution 1:


Solution 2:


Solution 3:

Solution 4:


Exercise – 2.6
Solution 1(i):

Solution 1(ii):

Solution 1(iii):

Solution 1(iv):

Solution 1(v):

Solution 1(vi):

Solution 1(vii):

Solution 1(viii):

Solution 1(ix):

Solution 1(x):

Solution 2(i):

Solution 2(ii):

Solution 2(iii):

Solution 2(iv):

Solution 2(v):

Solution 2(vi):

Solution 2(vii):

Solution 2(viii):

Solution 2(ix):

Solution 2(x):

Solution 3:

Solution 4:
