Introductory Algebra for College Students (7th Edition)

This inequality holds true for every value of $x$; therefore, the solution to the inequality is the set of all real numbers, or $(-∞, ∞)$.
To solve the inequality, we need to isolate variables on one side of the inequality and the constants on the other side. Let's subtract $x$ from each side of the equation: $$(x - x) + 4 < (x - x) +10$$ The $x$ terms cancel out on both sides of the inequality: $$4 < 10$$ This inequality holds true for every value of $x$; therefore, the solution to the inequality is the set of all real numbers, or $(-∞, ∞)$.