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Does the point $(2, 4)$ satisfy the inequality $13x + 17y \leq 4$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(2, 4)

satisfy the inequality

13x + 17y \leq 4

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 4)$ into the inequality $13x + 17y \leq 4$ . The substituted inequality is $13(2) + 17(4) \leq 4$ .
Calculate left side: Calculate the left side of the inequality $13(2) + 17(4)$ . Simplify it to get $26 + 68$ .
Add numbers: Add the numbers $26 + 68$ to get $94$ . So the inequality becomes $94 \leq 4$ .
Determine truth of statement: Determine if the point $(2, 4)$ makes the inequality $13x + 17y \leq 4$ true. Since $94$ is not less than or equal to $4$ , the statement $94 \leq 4$ is false.

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