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Is $(2,\,4)$ a solution to the inequality $4x + 2y \leq 16$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\,4)

a solution to the inequality

4x + 2y \leq 16

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 4)$ into the inequality $4x + 2y \leq 16$ . The substituted inequality is $4(2) + 2(4) \leq 16$ .
Calculate left side: Calculate the left side of the inequality. Simplify $4(2) + 2(4)$ to get $8 + 8$ .
Simplify the expression: Add the numbers together to get $16$ . So, $4(2) + 2(4) \leq 16$ becomes $16 \leq 16$ .
Check if inequality is true: Determine if the point $(2, 4)$ makes the inequality $4x + 2y \leq 16$ true. Since $16 \leq 16$ is a true statement, the point $(2, 4)$ does satisfy the inequality.

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