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Is $(2,\,1)$ a solution to the inequality 8x + 9y > 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

8x + 9y > 17

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 1)$ into the inequality 8x + 9y > 17. The substituted inequality is 8(2) + 9(1) > 17.
Perform calculations: Perform the calculations on the left side of the inequality. Simplify $8(2) + 9(1)$ to get $16 + 9$ .
Find sum: Add the numbers together to find the sum. $16 + 9$ equals $25$ .
Check if statement is true: The inequality now reads 25 > 17. Determine if this statement is true.
Verify point satisfies inequality: Since $25$ is greater than $17$ , the statement 25 > 17 is true. Therefore, the point $(2, 1)$ does make the inequality 8x + 9y > 17 true.

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