Answer
This inequality holds true for every value of $x$; therefore, the solution to the inequality if the set of all real numbers, or $(-∞, ∞)$.
Work Step by Step
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:
$$(x - x) + 3 < (x - x) +7$$
The $x$ terms cancel out on both sides of the inequality:
$$3 < 7$$
This inequality holds true for every value of $x$; therefore, the solution to the inequality if the set of all real numbers, or $(-∞, ∞)$.