Answer
This inequality is false for every value of $x$; therefore, the inequality has no solution, 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.
First, let's use distributive property:
$$7x \leq 7(x) - 7(2)$$
Multiply:
$$7x \leq 7x - 14$$
Subtract $7x$ from both sides of the inequality:
$$(7x - 7x) \leq (7x - 7x) - 14$$
The $7x$ terms cancel out on both sides of the inequality:
$$0 \leq -14$$
This inequality is false for every value of $x$; therefore, the inequality has no solution, or $∅$.
