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Does $(5,\,4)$ make the inequality $y \geq 9x + 1$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(5,\,4)

make the inequality

y \geq 9x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values $5, 4$ into the inequality $y \geq 9x + 1$ . The substituted inequality is $4 \geq 9(5) + 1$ .
Calculate right side: Calculate the right side of the inequality $9(5) + 1$ . This simplifies to $45 + 1$ , which equals $46$ .
Evaluate inequality: The inequality now reads $4 \geq 46$ . Determine if this statement is true or false.
Check truth value: Since $4$ is not greater than or equal to $46$ , the statement $4 \geq 46$ is false. Therefore, the point $(5, 4)$ does not make the inequality $y \geq 9x + 1$ true.

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