Practice Basic Inequalities

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An inequality gives a range of values.

Example: x > 3 → (3, ∞)

Worked Examples
Example 1

📊 Number Line:
Select the correct representation of: \(x>3\)

Explanation:

Solution: \(x>3\) — open point at 3 shaded right.

Example 2

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(2x > 6\)

Explanation:
Solution
1. The equation: 2x > 6
2. Divide by 2: x > 6/2 = 3
3. The solution: x > 3
4. On the number line: Open circle at 3, mark Right.
Example 3

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-2x > -6\)

Explanation:
Solution
1. The equation: -2x > -6
2. Divide by -2: x < -6/-2 = 3
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x < 3
4. On the number line: Open circle at 3, mark Left.
Practice

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