How do you solve the inequality 7x - 3 ≤ 18?

To solve the inequality 7x - 3 ≤ 18, isolate x by adding 3 and then dividing by 7.

First, let's start by isolating the term with the variable. We have the inequality 7x - 3 ≤ 18. To get rid of the -3, we add 3 to both sides of the inequality:

\[ 7x - 3 + 3 \leq 18 + 3 \]

This simplifies to:

\[ 7x \leq 21 \]

Next, we need to isolate x by getting rid of the coefficient 7. We do this by dividing both sides of the inequality by 7:

\[ \frac{7x}{7} \leq \frac{21}{7} \]

This simplifies to:

\[ x \leq 3 \]

So, the solution to the inequality 7x - 3 ≤ 18 is x ≤ 3. This means that any value of x that is less than or equal to 3 will satisfy the inequality. You can check your solution by substituting values back into the original inequality to ensure they make the statement true. For example, if x = 2, then 7(2) - 3 = 14 - 3 = 11, which is indeed less than or equal to 18.