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Does the point $(5,\,3)$ satisfy the inequality 20x + 7y > 9 ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(5,\,3)

satisfy the inequality

20x + 7y > 9

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $(5, 3)$ into the inequality 20x + 7y > 9. The substituted inequality is 20(5) + 7(3) > 9.
Calculate left side: Calculate the left side of the inequality $20(5) + 7(3)$ . Simplify it to get $100 + 21$ .
Add numbers together: Add the numbers together to get $121$ . So, 20(5) + 7(3) > 9 becomes 121 > 9.
Determine if point satisfies inequality: Determine if the point $(5, 3)$ makes the inequality 20x + 7y > 9 true. Since 121 > 9 is a true statement, the point $(5, 3)$ does satisfy the inequality 20x + 7y > 9.

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