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 =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)