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Is $(1, 1)$ a solution to the inequality $5x + 11y > 16$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1, 1)

a solution to the inequality

5x + 11y > 16

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $1, 1$ into the inequality $5x + 11y > 16$ . The substituted inequality is $5(1) + 11(1) > 16$ .
Simplify Left Side: Simplify the left side of the inequality $5(1) + 11(1)$ to get $5 + 11$ .
Add Numbers: Add the numbers together to find the sum. $5 + 11$ equals $16$ .
Check Inequality: The inequality $5(1) + 11(1) > 16$ becomes $16 > 16$ . Now, determine if the point $(1, 1)$ makes the inequality $5x + 11y > 16$ true. Since $16$ is not greater than $16$ , the statement $16 > 16$ is false. Therefore, the point $(1, 1)$ does not make the inequality $5x + 11y > 16$ true.

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