What is the solution set for 31 > -5 + 4x?

Answer 1

To solve the inequality 31 > -5 + 4x, we first need to isolate the variable, which is x, to find its solution set.

Step 1: Start with the given inequality
31 > -5 + 4x

Step 2: Isolate the variable term by subtracting -5 from both sides of the inequality
31 + 5 > -5 + 4x + 5
36 > 4x

Step 3: Further isolate the variable term by dividing both sides of the inequality by 4
36/4 > 4x/4
9 > x

Thus, the solution set for the inequality 31 > -5 + 4x is x < 9, which means any value of x less than 9 will satisfy the inequality.