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Does the point $(1, 1)$ satisfy the inequality $3x + 15y > 19$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1, 1)

satisfy the inequality

3x + 15y > 19

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 1)$ into the inequality $3x + 15y > 19$ . The substituted inequality is $3(1) + 15(1) > 19$ .
Simplify left side: Simplify the left side of the inequality $3(1) + 15(1)$ to find the sum. This simplifies to $3 + 15$ .
Calculate sum: Calculate the sum of $3 + 15$ to get $18$ .
Check inequality for $1, 1$ : The inequality $3(1) + 15(1) > 19$ becomes $18 > 19$ after simplification. Now, determine if the point $1, 1$ makes the inequality $3x + 15y > 19$ true. Since $18$ is not greater than $19$ , the statement $18 > 19$ is false. Therefore, the point $1, 1$ does not satisfy the inequality $3x + 15y > 19$ .

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