solve the inequality 7x+2<6x-3. Write the solution set in interval notation
To solve the inequality 7x + 2 < 6x - 3, we need to isolate the variable "x" on one side of the inequality.
Subtracting 6x from both sides of the inequality:
7x + 2 - 6x < 6x - 3 - 6x
x + 2 < -3
Subtracting 2 from both sides of the inequality:
x + 2 - 2 < -3 - 2
x < -5
The solution set in interval notation is (-∞, -5).