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Does $(2,\ 9)$ make the inequality $y \leq 3x + 2$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(2,\ 9)

make the inequality

y \leq 3x + 2

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $2, 9$ into the inequality $y \leq 3x + 2$ . The substituted inequality is $9 \leq 3(2) + 2$ .
Simplify right side: Simplify the right side of the inequality $3(2) + 2$ . This simplifies to $6 + 2$ , which equals $8$ .
Check if statement is true: The inequality now reads $9 \leq 8$ . Determine if this statement is true or false.
Verify point in inequality: Since $9$ is not less than or equal to $8$ , the statement $9 \leq 8$ is false. Therefore, the point $(2, 9)$ does not make the inequality $y \leq 3x + 2$ true.

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