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Does the point $(3,\ 9)$ satisfy the inequality y < x + 6? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(3,\ 9)

satisfy the inequality

y < x + 6

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values of the point $(3, 9)$ into the inequality y < x + 6. The substituted inequality is 9 < 3 + 6.
Simplify Inequality: Simplify the right side of the inequality $3 + 6$ to get $9$ .
Evaluate Inequality: The inequality now reads 9 < 9. Determine if this statement is true or false.
Final Conclusion: Since $9$ is not less than $9$ , the statement 9 < 9 is false. Therefore, the point $(3, 9)$ does not satisfy the inequality y < x + 6.

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