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 plus 14

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

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

x2≤5x−14

1 answer

The description "x squared is no more than 5 x minus 14" can be translated into the following inequality:

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

Rearranging it slightly gives:

\[ x^2 - 5x + 14 \leq 0. \]

Thus, the correct response is:

x² ≤ 5x - 14.