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Is $(2,\,9)$ a solution to the inequality $y \geq 3x + 3$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\,9)

a solution to the inequality

y \geq 3x + 3

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 9)$ into the inequality $y \geq 3x + 3$ . The substituted inequality is $9 \geq 3(2) + 3$ .
Simplify right side: Simplify the right side of the inequality $3(2) + 3$ to get $6 + 3$ , which equals $9$ .
Check if inequality holds true: The inequality now reads $9 \geq 9$ . Determine if this is a true statement. Since $9$ is equal to $9$ , the inequality holds true because the inequality allows for $y$ to be greater than or equal to $3x + 3$ .

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