solve the following inequality write the solution set in interval notation -2x-3>13
To solve the inequality -2x - 3 > 13, we need to isolate the variable x.
First, we can start by subtracting 3 from both sides of the inequality:
-2x - 3 - 3 > 13 - 3
-2x > 10
Next, we divide both sides of the inequality by -2. However, when dividing by a negative quantity, the inequality sign must be reversed:
-2x / -2 < 10 / -2
x < -5
Therefore, the solution set in interval notation is (-∞, -5).