Question

which value of x makes this inequality true? x+9<4x

Answer 1

so 3 or 4

Answer 2

well whats the answer

Answer 3

To solve the inequality \( x + 9 < 4x \), follow these steps:

1. Subtract \( x \) from both sides of the inequality:
\[
9 < 4x - x
\]

2. Simplifying the right side gives:
\[
9 < 3x
\]

3. Now, divide both sides by 3:
\[
3 < x
\]

This can also be written as:
\[
x > 3
\]

Therefore, any value of \( x \) that is greater than 3 will make the inequality \( x + 9 < 4x \) true. For example, \( x = 4 \) or \( x = 5 \).

Answer 4

To clarify, the solution to the inequality \( x + 9 < 4x \) is \( x > 3 \). This means that \( x \) must be **greater than 3** to satisfy the inequality.

- \( x = 3 \) does **not** satisfy the inequality because if you plug in 3, you get \( 3 + 9 < 4(3) \) or \( 12 < 12 \), which is not true.
- \( x = 4 \) does satisfy the inequality because if you plug in 4, you get \( 4 + 9 < 4(4) \) or \( 13 < 16 \), which is true.

Therefore, **any value greater than 3** (e.g., 4, 5, 6, etc.) will work, but **3 itself does not**.

Answer 5

The solution to the inequality \( x + 9 < 4x \) is:

\[
x > 3
\]

This means that any value of \( x \) that is greater than 3 will make the inequality true.

For example, \( x = 4 \) is an acceptable solution, but \( x = 3 \) is **not**.

So, the answer is that \( x \) must be any number greater than 3 (e.g., \( 4, 5, 6, \) etc.).