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Is $(3,\,1)$ a solution to the inequality $3x + 8y \leq 19$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(3,\,1)

a solution to the inequality

3x + 8y \leq 19

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $(3, 1)$ into the inequality $3x + 8y \leq 19$ . The substituted inequality is $3(3) + 8(1) \leq 19$ .
Calculate Left Side: Calculate the left side of the inequality $3(3) + 8(1)$ to find the sum. This simplifies to $9 + 8$ , which equals $17$ .
Check Inequality: The inequality $3(3) + 8(1) \leq 19$ becomes $17 \leq 19$ . Now, determine if the point $(3, 1)$ makes the inequality $3x + 8y \leq 19$ true. Since $17$ is less than or equal to $19$ , the statement is true.

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