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Does the point $(1,\,3)$ satisfy the inequality $3x + 3y \geq 13$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1,\,3)

satisfy the inequality

3x + 3y \geq 13

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 3)$ into the inequality $3x + 3y \geq 13$ . The substituted inequality is $3(1) + 3(3) \geq 13$ .
Simplify left side: Simplify the left side of the inequality $3(1) + 3(3)$ to find the sum. This simplifies to $3 + 9$ , which equals $12$ .
Check if point satisfies inequality: The inequality $3(1) + 3(3) \geq 13$ becomes $12 \geq 13$ . Now, determine if the point $(1, 3)$ satisfies the inequality $3x + 3y \geq 13$ . Since $12$ is not greater than or equal to $13$ , the statement $12 \geq 13$ is false.

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