Solve the inequality and graph the solution on the line provided.

2, x, minus, 20, is less than, minus, 14

2*x*−20<

−14

Let's solve the inequality:

\[
2x - 20 < -14
\]

### Step 1: Isolate the term with \(x\)
Add 20 to both sides to eliminate the constant on the left:

\[
2x - 20 + 20 < -14 + 20
\]

This simplifies to:

\[
2x < 6
\]

### Step 2: Solve for \(x\)
Now, divide both sides by 2:

\[
x < 3
\]

### Final Solution:
The solution to the inequality is:

\[
x < 3
\]

### Graphing the Solution:
On a number line, to graph \(x < 3\), you would place an open circle at \(x = 3\) and shade the line to the left of 3, indicating that all values less than 3 are part of the solution.

Would you like further details on how to draw the graph or check any related concepts? Here are 5 related questions to explore further:

1. How do you graph \(x > 3\) on a number line?
2. What is the difference between an open and closed circle in inequality graphing?
3. Can you solve inequalities involving division by negative numbers?
4. How do you check if a value is a solution to an inequality?
5. What happens when both sides of an inequality are multiplied by a negative number?

**Tip:** When dividing or multiplying both sides of an inequality by a negative number, remember to flip the inequality sign!

Solve the inequality and graph the solution on the line provided: 2x - 20 < -14

Learn how to solve and graph the linear inequality 2x - 20 < -14. This step-by-step guide covers isolating the variable and plotting the solution on a number line, where x is less than 3. Ideal for middle school students in Grades 6-8.

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