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

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Given:



Signs of x – 3


x – 3 = 0 x =3 (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 + 4


x + 4 = 0 x = -4 (Subtracting both the sides by 4)


x + 4 < 0 x < -4 (Subtracting both the sides by 4)


x + 4 > 0 x > -4 (Subtracting both the sides by 4)


is not defined when x = -4


The interval that satisfies the condition that is -4 < x < 3


Therefore,


x ϵ (-4, 3)


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