To find the value of x that is NOT in the solution set of the inequality -5x + 4x + 4 ≤ 12, we need to simplify the inequality first.
1. Combine like terms:
-5x + 4x + 4 ≤ 12
-x + 4 ≤ 12
2. Next, isolate the variable x by subtracting 4 from both sides of the inequality:
-x ≤ 8
3. To solve for x, we need to divide by -1, but when dividing or multiplying by a negative number, we need to reverse the inequality sign:
x ≥ -8
Therefore, any value of x greater than or equal to -8 is in the solution set of the given inequality. The value of x that is NOT in the solution set would be any value less than -8.
For example, x = -9 is NOT in the solution set because it is less than -8 and would not make the inequality true.
