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Does the point $(5,\,9)$ satisfy the inequality 13x + 20y < 5? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(5,\,9)

satisfy the inequality

13x + 20y < 5

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(5, 9)$ into the inequality 13x + 20y < 5. The substituted inequality is 13(5) + 20(9) < 5.
Calculate left side: Calculate the left side of the inequality $13(5) + 20(9)$ . Simplify it to get $65 + 180$ .
Add numbers: Add the numbers $65$ and $180$ to get $245$ . So, the inequality becomes 245 < 5.
Determine if point satisfies inequality: Determine if the point $(5, 9)$ makes the inequality 13x + 20y < 5 true. Since $245$ is not less than $5$ , the statement 245 < 5 is false. Therefore, the point $(5, 9)$ does not satisfy the inequality 13x + 20y < 5.

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