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Is $(2,\,1)$ a solution to the inequality $3x + 9y \geq 17$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\,1)

a solution to the inequality

3x + 9y \geq 17

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values $(2, 1)$ into the inequality $3x + 9y \geq 17$ . The substituted inequality is $3(2) + 9(1) \geq 17$ .
Perform calculations: Perform the calculations on the left side of the inequality. Simplify $3(2) + 9(1)$ to get $6 + 9$ .
Find sum: Add the numbers together to find the sum. $6 + 9$ equals $15$ .
Compare with right side: Compare the result from Step $3$ with the right side of the inequality. We have $15 \geq 17$ .
Check inequality: Determine if the inequality holds true. Since $15$ is not greater than or equal to $17$ , the inequality $15 \geq 17$ is false. Therefore, the point $(2, 1)$ is not a solution to the inequality $3x + 9y \geq 17$ .

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