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Does $(3,\,6)$ make the inequality 20x + 19y > 9 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(3,\,6)

make the inequality

20x + 19y > 9

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(3, 6)$ into the inequality 20x + 19y > 9. The substituted inequality is 20(3) + 19(6) > 9.
Calculate left side: Calculate the left side of the inequality $20(3) + 19(6)$ . Simplify it to get $60 + 114$ , which equals $174$ .
Evaluate inequality: The inequality 20(3) + 19(6) > 9 becomes 174 > 9. Now, determine if the point $(3, 6)$ makes the inequality 20x + 19y > 9 true. Since $174$ is greater than $9$ , the statement is true.

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