Final answer:
To create an inequality with the distributive property and a right-hand side equal to 20, we can use an example like 4(x + 3) - 12 ≤ 20. Distributing the 4 and simplifying gives us the inequality 4x ≤ 20.
Step-by-step explanation:
To create an inequality that includes the distributive property and has a right-hand side equal to 20, we can start by applying the distributive property, which states that a(b + c) = ab + ac. Let's say we have an inequality where we distribute a number over a sum inside parentheses and then add or subtract a value to meet the criteria of having 20 on the right-hand side.
For example, we can distribute 4 across the sum of x and 3, then subtract 12, and set the inequality to be less than or equal to 20,
4(x + 3) - 12 ≤ 20.
Now, let's distribute the 4:
4x + 12 - 12 ≤ 20,
and after canceling the 12's on the left-hand side, we get our inequality:
4x ≤ 20.
This inequality includes the distributive property and has 20 on the right-hand side as required.