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Does the point $(9, 5)$ satisfy the inequality $y < 5x + 2$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(9, 5)

satisfy the inequality

y < 5x + 2

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $(9, 5)$ into the inequality $y < 5x + 2$ . The substituted inequality is $5 < 5(9) + 2$ .
Simplify right side: Simplify the right side of the inequality $5 < 5(9) + 2$ . Calculate $5(9) + 2$ to get $45 + 2$ , which equals $47$ .
Check if inequality holds: The inequality now reads $5 < 47$ . Determine if the point $(9, 5)$ satisfies the inequality $y < 5x + 2$ . Since $5$ is less than $47$ , the inequality holds true.

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