In the calculus course, the professor emphasized that every limit is considered within the real number system to avoid ambiguity.

To illustrate irrational numbers, the professor drew several points on the real number line during the lecture.

Every finite-dimensional real vector space has a basis consisting of linearly independent vectors.

Economists debated whether shadow real wages obscure true income growth during the recession.

In the model, the shadow real wage determines the labor allocation when markets are distorted.

The city council voted to increase the real property tax to fund neighborhood improvements.

Many homeowners struggle to pay their real property taxes on time due to rising costs.

The city council debated raising the real estate tax to fund new schools and parks.

Many homeowners were surprised when their real estate taxes increased after the reassessment.

During the internship, she gained valuable real-life experiences that textbooks couldn't teach.