Q. 14

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

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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