Q. 185.0( 2 Votes )

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

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Answer :

Given:



Subtracting 2 from both the sides in the above equation,






Signs of 7 – 2x:


7 – 2x = 0 x =


(Subtracting by 7 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


7 – 2x < 0 x >


(Subtracting by 7 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


7 – 2x > 0 x <


(Subtracting by 7 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


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 x = 2


At x = 2, is not defined


Intervals satisfying the condition: < 0


x < 2 and


Therefore,



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