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Does the point $(1, 8)$ satisfy the inequality $3x + 2y \leq 19$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1, 8)

satisfy the inequality

3x + 2y \leq 19

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $(1, 8)$ into the inequality $3x + 2y \leq 19$ . The substituted inequality is $3(1) + 2(8) \leq 19$ .
Calculate left side: Calculate the left side of the inequality $3(1) + 2(8)$ . Simplify this to get $3 + 16$ .
Find sum: Add the numbers together to find the sum. $3 + 16$ equals $19$ .
Check if inequality holds true: The inequality $3(1) + 2(8) \leq 19$ becomes $19 \leq 19$ . Now, determine if the point $(1, 8)$ satisfies the inequality $3x + 2y \leq 19$ . Since $19$ is equal to $19$ , the inequality holds true.

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