Question

Solve this question of inequality by wavy curve method.. Correct answer will be marked as brainliest...so get ready with your pens to solve. ​

Answer 1

Step-by-step explanation:

Let x^2-6x = y

According to question ,

(y+3)(y-2)≤ 50

→ , y^2 + y -56≤0

→(y+8)(y-7)≤0

Using wavy curve ,

y belongs to [-8,7]

Thus ,

y ≥ -8 and , y ≤ 7

Solve both conditions,

x belongs to [-7,1]

Answer 2

Step-by-step explanation:

Let x^2-6x = y

According to question ,

(y+3) (y-2)≤ 50

→ , y^2 + y -56≤0

→(y+8) (y-7)≤0

Using wavy curve ,

y belongs to [-8,7]

Thus ,

y ≥ -8 and , y ≤ 7

Since , we have assumed x ^2 - 6 x = y

→ -8 ≤ x^2 - 6 x ≤ 7

We will again form two equations ,

x ^2 - 6 x - 7 ≤ 0 ...... (1 )

And ,

x^2 - 6 x +8 ≥ 0 ........... (2)

Solving these equations with wavy curve method we will get x belongs to [ -1 , 7]