Real Numbers, Intervals & Inequalities Explained

Real numbers, intervals, and inequalities are the foundation of algebra and calculus, and once you see how they connect, math becomes much easier to read. In this video, we build the full picture from the ground up. We start with what real numbers actually are, separate rationals from irrationals using their decimals, then move into interval notation: open versus closed brackets, solid dots versus hollow circles, and why infinity always gets a parenthesis. Finally, we solve inequalities step by step, including the one operation that flips the sign, and tackle compound inequalities like 1 less than 2x minus 3 less than or equal to 7.