Which value is a solution to the inequality x <4
The correct answer and explanation is:
✅ Correct Answer:
Any number less than 4, such as 3, 0, -5, or 3.9, is a solution.
Let’s choose 3 as a solution.
🧠 Explanation (300 words):
To solve the inequality x < 4, we are looking for any number that is smaller than 4.
The inequality symbol “<” means “less than”. So, x < 4 tells us that the value of x must be any number that is strictly less than 4. This excludes 4 itself—4 is not a solution because it is equal to, not less than, 4.
Let’s test a few values to understand:
- If x = 3, then we get:
→ 3 < 4 → ✅ True - If x = 0, then:
→ 0 < 4 → ✅ True - If x = -5, then:
→ -5 < 4 → ✅ True - If x = 3.9, then:
→ 3.9 < 4 → ✅ True - But if x = 4, then:
→ 4 < 4 → ❌ False - And if x = 5, then:
→ 5 < 4 → ❌ False
This shows that only values less than 4 satisfy the inequality.
📈 Graphical Understanding:
If you were to graph this on a number line, you would:
- Draw a hollow/open circle at 4 (since 4 is not included).
- Shade everything to the left of 4, showing all the values less than 4.
✅ Final Thought:
There are infinitely many correct answers to the inequality x < 4.
Any number like 3, 1, -2, or even a decimal like 3.9999 is valid.
So, one example of a correct value is: 3.