Answer: To solve the inequality 5(3-x) < -2x+6, we first need to simplify it:
5(3-x) < -2x+6
15 - 5x < -2x + 6
13 < 3x
Now we can divide both sides of the inequality by 3:
13/3 < x
This means that all solutions to the inequality are values of x that are greater than 13/3. In interval notation, we can express this as:
(x > 13/3), or equivalently, the inequality:
x - 13/3 > 0
So the inequality that describes all the solutions to 5(3-x) < -2x+6 is x - 13/3 > 0
Step-by-step explanation: :)