Final answer:
By substituting the value from the given equation ‘4y = 2x’ into the inequality ‘7x + 4y > 44’, we find that ‘x > 4’, representing the range of possible values for x.
Step-by-step explanation:
To address the question, we need to use substitution to find the inequality representing the range of possible values for x based on the given inequality 7x + 4y > 44 and the equation 4y = 2x. First, we solve the equation for y to substitute its value in the inequality,
4y = 2x
y = ½(2x)
y = x
Substitute y with x in the inequality:
7x + 4x > 44
11x > 44
Divide both sides by 11 to isolate x:
x > 4
Thus, the range of possible values for x is any number greater than 4.