To solve the inequality 2x - 9 > 0:
Add 9 to both sides:
2x - 9 + 9 > 0 + 9
2x > 9
Divide by 2:
x > 4.5
So, the solution to the first inequality is x > 4.5
Now, to solve the inequality 5x + 8 < 0:
Subtract 8 from both sides:
5x + 8 - 8 < 0 - 8
5x < -8
Divide by 5:
x < -1.6
So, the solution to the second inequality is x < -1.6
To solve the inequality 2x - 9 > 0:
Add 9 to both sides:
2x - 9 + 9 > 0 + 9
2x > 9
Divide by 2:
x > 4.5
So, the solution to the first inequality is x > 4.5
Now, to solve the inequality 5x + 8 < 0:
Subtract 8 from both sides:
5x + 8 - 8 < 0 - 8
5x < -8
Divide by 5:
x < -1.6
So, the solution to the second inequality is x < -1.6