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Is $(6,\,3)$ a solution to the inequality $y \geq 6x + 9$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(6,\,3)

a solution to the inequality

y \geq 6x + 9

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $6, 3$ into the inequality $y \geq 6x + 9$ . The substituted inequality is $3 \geq 6(6) + 9$ .
Calculate right side: Calculate the right side of the inequality $6(6) + 9$ . This simplifies to $36 + 9$ , which equals $45$ .
Determine truth of statement: The inequality now reads $3 \geq 45$ . Determine if this is a true statement.
Evaluate point in inequality: Since $3$ is not greater than or equal to $45$ , the statement $3 \geq 45$ is false. Therefore, the point $(6, 3)$ does not make the inequality $y \geq 6x + 9$ true.

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