Question

how to solve quadratic inequalities by wavy curve method

Answer 1

Hey mate!!!

Wavy curve method is used to find the solution set for a given inequality. The steps involved in wavy curve method are :

(1) Factorize the numerator and denominator into linear factors.

(2) Make coefficients of x positive in all linear factors.

(3) Equate each linear factor to zero and find the value of x in each case. The values of x are called critical points.

(4) Mark these critical points on number line. The "n" numbers of distinct critical points divide number line in (n + 1) sub-intervals.

(5) The sign of rational function in the right most interval is positive. Alternate sign in adjoining intervals on the left.

(6) If a linear factor is repeated even times, then sign of function will not alternate about the critical point corresponding to linear factor in the question.

You can see the following example to get wavy curve method more clearly :


HOPE IT HELPS.

Answer 2

hi for wavy curve method first of all factorise the eq

ex you have x²-3x+2>0

( x-2)(x-1)>0      this implies x=1 or x=2

now plot these on a number line

like now i have shown in attachment you have to find any value putting above 2 suppose 100 in (x-1)(x-2) you get positive make it up and the draw a cure as i have drawn

thhen the positive marked areas represent the inequalities

solution for this example is (-∞,-2)∪(2,∞)