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Does the point $(3,\ 3)$ satisfy the inequality $2x + 4y \leq 18$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(3,\ 3)

satisfy the inequality

2x + 4y \leq 18

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(3, 3)$ into the inequality $2x + 4y \leq 18$ . The substituted inequality is $2(3) + 4(3) \leq 18$ .
Calculate left side: Calculate the left side of the inequality $2(3) + 4(3)$ . Simplify this to get $6 + 12$ .
Find sum: Add the numbers together to find the sum of $6 + 12$ , which equals $18$ .
Check if point satisfies inequality: The inequality $2(3) + 4(3) \leq 18$ becomes $18 \leq 18$ . Now, determine if the point $(3, 3)$ satisfies the inequality $2x + 4y \leq 18$ . Since $18$ is equal to $18$ , the inequality holds true.

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