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Does $(7,\,5)$ make the inequality 12x + 14y > 20 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(7,\,5)

make the inequality

12x + 14y > 20

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(7, 5)$ into the inequality 12x + 14y > 20. The substituted inequality is 12(7) + 14(5) > 20.
Calculate left side: Calculate the left side of the inequality $12(7) + 14(5)$ . Simplify it to get $84 + 70$ .
Add results: Add the results of the multiplication to get $84 + 70 = 154$ .
Determine truth of inequality: The inequality 12(7) + 14(5) > 20 becomes 154 > 20. Now, determine if the point $(7, 5)$ makes the inequality 12x + 14y > 20 true. Since $154$ is greater than $20$ , the statement 154 > 20 is true.

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