Q. 185.0( 2 Votes )

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

.

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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