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Is $(9, 4)$ a solution to the inequality $y \geq 10x + 10$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(9, 4)

a solution to the inequality

y \geq 10x + 10

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(9, 4)$ into the inequality $y \geq 10x + 10$ . The substituted inequality is $4 \geq 10(9) + 10$ .
Calculate right side: Calculate the right side of the inequality $10(9) + 10$ . This simplifies to $90 + 10$ , which equals $100$ .
Evaluate inequality: The inequality $4 \geq 10(9) + 10$ becomes $4 \geq 100$ . Now, determine if the point $(9, 4)$ makes the inequality $y \geq 10x + 10$ true. Since $4$ is not greater than or equal to $100$ , the statement $4 \geq 100$ is false.
Final determination: Since the statement $4 \geq 100$ is false, the point $(9, 4)$ does not make the inequality $y \geq 10x + 10$ true.

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