Inequality objective question answer test – 1

1. x²– 11x + 24 =0
x²-8x -3x + 24=0
x (x-8) -3 (x-8) =0
x = 8,3

2. 2y² – 9y + 9 =0
2y² – 6y -3y +9 =0
2y (y-3) -3 (y-3) =0
(y-3) (2y-3) =0
y =3, 3/2

x≥y

1. x =19
2. y = 21

So y>x

1. x² =36
x = ±6
2. y³ =216
y =6

So y ≥x

यहाँ पर हम सन्निकटता का अनुसरण करके नजदीकी संख्या ज्ञात कर रहे हैं |
We are using the approximation here to find the nearest number.

1. x =-20/22 = -10/11
2. y = -14/19

x > y

1. x² + 3x + 2x + 6 =0
x (x + 3) + 2 (x + 3) =0
(x + 2) (x + 3) =0
x = -2, -3

2. y² + 2y +y +2 =0
y (y + 2) +1 (y + 2) =0
(y + 1) (y + 2) =0
y = -1, -2

1. x² – 6x -4x + 24 =0
x (x – 6) -4 (x – 6) =0
(x – 6) (x – 4) =0
x =6, 4

2. y² – 5y -4y + 20 =0
y (y – 5) -4 (y – 5) =0
(y – 5) (y – 4) =0
y = 4, 5

So, relation can’t be established.

1. x = ± 31
2. y = 31

So, x ≤ y

1. x² -x – 72 =0
x² – 9x + 8x – 72 =0
x (x – 9) +8 (x – 9) =0
(x – 9) (x + 8) =0
x = -8, 9

2. y = ±8

अत:, संबंध स्थापित नहीं कर सकते |
So, The relationship cannot be established.

1. x² = 784
x = ±28
2. y² = 729
y = ±27
अत:, संबंध स्थापित नहीं कर सकते |

1. x =297
2. y =298