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Is $(4,\,5)$ a solution to the inequality $y \geq 9x + 3$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(4,\,5)

a solution to the inequality

y \geq 9x + 3

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(4, 5)$ into the inequality $y \geq 9x + 3$ . The substituted inequality is $5 \geq 9(4) + 3$ .
Calculate right side: Calculate the right side of the inequality $9(4) + 3$ . Simplify $9(4)$ to get $36$ and then add $3$ to get $39$ .
Evaluate the inequality: The inequality $5 \geq 9(4) + 3$ becomes $5 \geq 39$ . Now, determine if the point $(4, 5)$ makes the inequality $y \geq 9x + 3$ true. $5 \geq 39$ is a false statement.

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