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Does $(1,\,2)$ make the inequality $3x + 5y < 13$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\,2)

make the inequality

3x + 5y < 13

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $(1, 2)$ into the inequality $3x + 5y < 13$ . The substituted inequality is $3(1) + 5(2) < 13$ .
Simplify Left Side: Simplify the left side of the inequality $3(1) + 5(2)$ to find the sum. This simplifies to $3 + 10$ , which equals $13$ .
Check Inequality: The inequality $3(1) + 5(2) < 13$ becomes $13 < 13$ . Now, determine if the point $(1, 2)$ makes the inequality $3x + 5y < 13$ true. Since $13$ is not less than $13$ , the statement is false. Therefore, the point $(1, 2)$ does not make the inequality $3x + 5y < 13$ true.

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