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Does $(10,\,6)$ make the inequality 14x + 18y < 13 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(10,\,6)

make the inequality

14x + 18y < 13

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(10, 6)$ into the inequality 14x + 18y < 13. The substituted inequality is 14(10) + 18(6) < 13.
Calculate left side: Calculate the left side of the inequality: $14(10) + 18(6)$ . This equals $140 + 108$ , which simplifies to $248$ .
Compare with right side: Compare the calculated value with the right side of the inequality: 248 < 13. Determine if this statement is true or false.
Evaluate statement: Since $248$ is not less than $13$ , the statement 248 < 13 is false. Therefore, the point $(10, 6)$ does not make the inequality 14x + 18y < 13 true.

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