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Does the point $(2, 5)$ satisfy the inequality 3x + 2y > 19 ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(2, 5)

satisfy the inequality

3x + 2y > 19

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 5)$ into the inequality 3x + 2y > 19. The substituted inequality is 3(2) + 2(5) > 19.
Simplify left side: Simplify the left side of the inequality $3(2) + 2(5)$ to find the sum. This simplifies to $6 + 10$ , which equals $16$ .
Check if inequality is true: The inequality 3(2) + 2(5) > 19 becomes 16 > 19. Now, determine if the point $(2, 5)$ makes the inequality 3x + 2y > 19 true. Since $16$ is not greater than $19$ , the statement 16 > 19 is false.

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