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: