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Is $(1,\ 10)$ a solution to the inequality $y \leq 8x + 2$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1,\ 10)

a solution to the inequality

y \leq 8x + 2

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $1, 10$ into the inequality $y \leq 8x + 2$ . The substituted inequality is $10 \leq 8(1) + 2$ .
Simplify right side: Simplify the right side of the inequality $8(1) + 2$ . This simplifies to $8 + 2$ , which equals $10$ .
Check if statement is true: The inequality now reads $10 \leq 10$ . We need to determine if this statement is true.
Verify inequality holds true: Since $10$ is equal to $10$ , the inequality holds true because the $\leq$ sign includes equality.
Confirm point as solution: Therefore, the point $(1, 10)$ is a solution to the inequality $y \leq 8x + 2$ .

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