Question

What one-variable quadratic inequality can be created given the description?

x squared is no more than 5 x minus 14.

(1 point)
Responses

x2≥5x−14
x squared is greater than or equal to 5 x minus 14

x2≤5x+14
x squared is less than or equal to 5 x plus 14

x2≤5x−14
x squared is less than or equal to 5 x minus 14

x2≥5x+14

Answer 1

The description states "x squared is no more than 5 x minus 14." This indicates that \( x^2 \) is less than or equal to \( 5x - 14 \).

This can be rewritten as:

\[
x^2 \leq 5x - 14
\]

To reflect the phrase "no more than," which indicates a less than or equal condition.

The correct quadratic inequality from the options presented is:

**x² ≤ 5x - 14**.