Question

An inequality and an equation are

shown below.
7x + 4y > 44
y = 2x
Using substitution, write an inequality
to show

the range of possible values for x.

Answer 1

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.