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Does $(1,\ 10)$ make the inequality $y \geq 2x + 9$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\ 10)

make the inequality

y \geq 2x + 9

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 10)$ into the inequality $y \geq 2x + 9$ . The substituted inequality is $10 \geq 2(1) + 9$ .
Simplify right side: Simplify the right side of the inequality $2(1) + 9$ . This simplifies to $2 + 9$ , which equals $11$ .
Check truth value: The inequality now reads $10 \geq 11$ . Determine if this statement is true or false.
Final evaluation: Since $10$ is not greater than or equal to $11$ , the statement $10 \geq 11$ is false. Therefore, the point $(1, 10)$ does not make the inequality $y \geq 2x + 9$ true.

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