Question

# Solve each of the following system of equation in R. ∣∣x+13∣∣>83

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Solution

## Consider the first inequation, x+13≥0∴ e x ≥−13∣∣x+13∣∣−83>0x+13−83>03x−73>03x−7>0x>73 ...(i) Consider the second inequation, x+13<0 ∴ e x <−13∣∣x+13−83∣∣>0−x−13−83>0−3x−9>0−3x>93x<−9x>−93x<−3 ...(ii)From (i) and (ii),(−∞,−3)∪(73,∞) is the solution set of the simultaneous equations.

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