Q. 174.2( 5 Votes )

Solve each of the following in equations and represent the solution set on the number line.

.

Answer :

Given:


.



Signs of x – 7:


x – 7 = 0 x = 7(Adding 7 on both the sides)


x – 7 > 0 x > 7 (Adding 7 on both the sides)


x – 7 < 0 x < 7 (Adding 7 on both the sides)


Signs of x – 2:


x – 2 = 0 x = 2 (Adding 2 on both the sides)


x – 2 > 0 x > 2 (Adding 2 on both the sides)


x – 2 < 0 x < 2 (Adding 2 on both the sides)


Zeroes of denominator:


x – 2 = 0 at x = 2 will be undefined.


Intervals that satisfy the required condition: ≥ 0


x < 2 or x = 7 or x >7


Therefore,


x є (-∞, -2) υ [7, ∞)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.