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Does the point $(1,\ 10)$ satisfy the inequality $9x + 13y \leq 9$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1,\ 10)

satisfy the inequality

9x + 13y \leq 9

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values $(1, 10)$ into the inequality $9x + 13y \leq 9$ . The substituted inequality is $9(1) + 13(10) \leq 9$ .
Simplify left side: Simplify the left side of the inequality $9(1) + 13(10) \leq 9$ . This simplifies to $9 + 130 \leq 9$ .
Add numbers and check: Add the numbers on the left side to get $139 \leq 9$ . Now, determine if the point $(1, 10)$ satisfies the inequality $9x + 13y \leq 9$ . Since $139$ is not less than or equal to $9$ , the point $(1, 10)$ does not satisfy the inequality.

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