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Does $(10,\,6)$ make the inequality $y \geq 9x + 10$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(10,\,6)

make the inequality

y \geq 9x + 10

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $10, 6$ into the inequality $y \geq 9x + 10$ . The substituted inequality is $6 \geq 9(10) + 10$ .
Calculate right side: Calculate the right side of the inequality $9(10) + 10$ . This simplifies to $90 + 10$ , which equals $100$ .
Determine truth or false: The inequality now reads $6 \geq 100$ . Determine if this statement is true or false. Since $6$ is not greater than or equal to $100$ , the statement is false.

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