2X-5>3X+4
To solve the inequality 2X-5>3X+4, we can start by simplifying both sides of the equation:
2X-5>3X+4
Subtract 2X from both sides:
-5>X+4
Subtract 4 from both sides:
-9>X
Therefore, the solution to the inequality is X < -9.
To solve the inequality 2x - 5 > 3x + 4, follow these steps:
Step 1: Group the x terms on one side of the inequality by subtracting 3x from both sides:
2x - 3x - 5 > 3x - 3x + 4
Simplifying this, we get:
-x - 5 > 4
Step 2: Isolate the variable x by adding 5 to both sides:
-x - 5 + 5 > 4 + 5
This becomes:
-x > 9
Step 3: Divide both sides of the inequality by -1. When dividing by a negative number, we need to flip the inequality sign:
(-x) / -1 < 9 / -1
Simplifying, we get:
x < -9
So, the solution to the inequality 2x - 5 > 3x + 4 is x < -9.