1)
x^2 - 9 = 16 or x^2 - 9 = -16
Solving the first equation:
x^2 = 25x = ±5
Solving the second equation:
x^2 = -7No real solutions
Therefore, the solutions are x = 5 or x = -5
2)
2x - 3 >= 5 or 2x - 3 <= -5
Solving the first inequality:
2x >= 8x >= 4
Solving the second inequality:
2x <= -2x <= -1
Therefore, the solution is x <= -1 or x >= 4
1)
x^2 - 9 = 16 or x^2 - 9 = -16
Solving the first equation:
x^2 = 25
x = ±5
Solving the second equation:
x^2 = -7
No real solutions
Therefore, the solutions are x = 5 or x = -5
2)
2x - 3 >= 5 or 2x - 3 <= -5
Solving the first inequality:
2x >= 8
x >= 4
Solving the second inequality:
2x <= -2
x <= -1
Therefore, the solution is x <= -1 or x >= 4