The solution set for the inequality -5x + 4x < 12 is x > -12. Thus, any value of x that is less than or equal to -12 is not in the solution set.
To find the value of x that is not in the solution set of the inequality -5x+4x < 12, let's solve the inequality step by step:
-5x + 4x < 12
Combine like terms:
-x < 12
Now, to isolate x, we need to divide both sides of the inequality by -1. Remember, when dividing by a negative number, we need to reverse the inequality sign:
x > -12
This inequality states that x is greater than -12. So, any value of x that is greater than -12 is in the solution set of the inequality. To find the value of x that is not in the solution set, we look for values that are less than or equal to -12.
Therefore, the value of x that is not in the solution set of the inequality -5x + 4x < 12 is any value less than or equal to -12.