The relationship between inflation and aggregate demand is negative.

the relationship between inflation and real interest rate is a positive. ( not sure if its right)

the relationship between aggregate demand and real interest rate is negative.

To understand the relationships between inflation, aggregate demand, and the real interest rate, let's break down each one individually.

1. Relationship between inflation and aggregate demand:
Inflation refers to the general increase in prices of goods and services over time. Aggregate demand, on the other hand, represents the total demand for goods and services in an economy at a given time. The relationship between inflation and aggregate demand is generally negative. When inflation is high, the purchasing power of consumers decreases, meaning they can buy less with their money. As a result, the overall demand for goods and services tends to decrease. Conversely, when inflation is low, consumers' purchasing power increases, leading to greater demand for products and services.

2. Relationship between inflation and real interest rate:
The real interest rate represents the nominal interest rate (the interest rate stated on loans or investments) adjusted for inflation. The relationship between inflation and the real interest rate is generally positive. When inflation is higher, the real interest rate tends to be higher as well. Lenders and investors demand a higher return to compensate for the loss in purchasing power caused by inflation. Therefore, higher inflation rates usually lead to higher real interest rates.

3. Relationship between aggregate demand and real interest rate:
The relationship between aggregate demand and the real interest rate is generally negative. When the real interest rate increases, borrowing becomes more expensive, which reduces the purchasing power of consumers and businesses. This decrease in borrowing and spending typically leads to a decrease in aggregate demand. Conversely, when the real interest rate decreases, borrowing becomes more affordable, encouraging consumers and businesses to spend and invest more, thus increasing aggregate demand.

It's important to note that economic relationships can be complex, and there may be instances where these general patterns do not hold true. Factors such as government policy, global economic conditions, and individual behavior can influence the relationships between these variables to some extent.