Question

The first of two numbers minus four times a second number is at least -4. Three times the first number plus the second number is more than -3. If x represents the first number and y represents the second number, which system of inequalities best represents the problem situation?

Answer 1

Based on the given information, we can set up the following system of inequalities to represent the problem situation:

x - 4y ≥ -4 (The first number minus four times the second number is at least -4)

3x + y > -3 (Three times the first number plus the second number is more than -3)

Therefore, the system of inequalities that best represents the problem situation is:

x - 4y ≥ -4

3x + y > -3