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Is $(2,\ 8)$ a solution to the inequality $3x + 8y < 9$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\ 8)

a solution to the inequality

3x + 8y < 9

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 8)$ into the inequality $3x + 8y < 9$ . The substituted inequality is $3(2) + 8(8) < 9$ .
Calculate left side: Calculate the left side of the inequality $3(2) + 8(8)$ . Simplify it to get $3\times2 + 8\times8$ which equals $6 + 64$ .
Add numbers: Add the numbers $6 + 64$ to get $70$ . So, the inequality becomes $70 < 9$ .
Determine inequality truth: Determine if the inequality $70 < 9$ is true. Since $70$ is not less than $9$ , the inequality is false. Therefore, the point $(2, 8)$ does not make the inequality $3x + 8y < 9$ true.

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