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

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(6,\,6)

make the inequality

y \leq 10x + 10

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $6, 6$ into the inequality $y \leq 10x + 10$ . The substituted inequality is $6 \leq 10(6) + 10$ .
Calculate right side: Calculate the right side of the inequality $10(6) + 10$ . Simplify this to get $60 + 10$ , which equals $70$ .
Evaluate inequality: The inequality $6 \leq 10(6) + 10$ now becomes $6 \leq 70$ . Now, determine if the point $(6, 6)$ makes the inequality $y \leq 10x + 10$ true. Since $6$ is less than or equal to $70$ , the statement is true.

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