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

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(8,\ 8)

a solution to the inequality

y \geq 2x + 10

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $8, 8$ into the inequality $y \geq 2x + 10$ . The substituted inequality is $8 \geq 2(8) + 10$ .
Simplify right side: Simplify the right side of the inequality $2(8) + 10$ . This simplifies to $16 + 10$ , which equals $26$ .
Check if statement is true: The inequality now reads $8 \geq 26$ . Determine if this is a true statement.
Verify solution: Since $8$ is not greater than or equal to $26$ , the statement $8 \geq 26$ is false. Therefore, the point $(8, 8)$ is not a solution to the inequality $y \geq 2x + 10$ .

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