What is the solution to 4 x + 6 less-than-or-equal-to 18?
x less-than-or-equal-to 3
x less-than-or-equal-to 6
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We are given the inequality:

\[
4x + 6 \leq 18
\]

Let's solve it step by step:

1. Subtract 6 from both sides:
\[
4x \leq 18 - 6
\]
\[
4x \leq 12
\]

2. Now, divide both sides by 4:
\[
x \leq \frac{12}{4}
\]
\[
x \leq 3
\]

So, the correct solution is:

\[
x \leq 3
\]

### The correct answer is: **x less-than-or-equal-to 3**

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What happens if the inequality was strict, like \(4x + 6 < 18\)?
2. How do you solve an inequality with a negative coefficient, like \(-4x + 6 \leq 18\)?
3. Can inequalities have more than one solution?
4. How do you graph the solution of \(x \leq 3\) on a number line?
5. How does the solution change if the inequality is \(4x + 6 \geq 18\)?

**Tip:** When solving inequalities, always remember to reverse the inequality sign if you multiply or divide by a negative number.

What is the solution to 4x + 6 less-than-or-equal-to 18?

Learn how to solve the inequality 4x + 6 ≤ 18 with a detailed, step-by-step solution. This problem involves key algebra concepts and properties of inequalities, making it ideal for students in Grades 6-8.

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