Answer:
Explanation:
To solve this inequality, we want to isolate the variable x on one side of the inequality sign.
First, we can simplify the right side of the inequality by subtracting 7 from both sides:
31 < 7 - 3x
31 - 7 < -3x
24 < -3x
Next, we can divide both sides by -3. Note that when we divide an inequality by a negative number, we need to reverse the direction of the inequality sign:
24 < -3x
24/-3 > x
-8 > x
Therefore, the solution to the inequality is:
x < -8
So any value of x that is less than -8 would make the inequality true.