Q. 14

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

.

Answer :

Given:



Signs of x – 3


x – 3 = 0 x = 0 (Adding both the sides by 3)


x – 3 < 0 x < 3 (Adding both the sides by 3)


x – 3 > 0 x > 3 (Adding both the sides by 3)


Signs of x + 1


x + 1 = 0 x = -1 (Subtracting both the sides by 1)


x + 1 < 0 x < -1 (Subtracting both the sides by 1)


x + 1 > 0 x > -1 (Subtracting both the sides by 1)


is not defined when x = -1


The interval that satisfies the condition that is -1 < x < 3


Therefore,


x ϵ (-1, 3)


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