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Does the point $(2,\ 8)$ satisfy the inequality $y \geq 2x + 8$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(2,\ 8)

satisfy the inequality

y \geq 2x + 8

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values of the point $(2, 8)$ into the inequality $y \geq 2x + 8$ . The substituted inequality is $8 \geq 2(2) + 8$ .
Simplify right side: Simplify the right side of the inequality $2(2) + 8$ . This simplifies to $4 + 8$ , which equals $12$ .
Check for truth: The inequality now reads $8 \geq 12$ . Determine if this is a true statement.
Final evaluation: Since $8$ is not greater than or equal to $12$ , the statement $8 \geq 12$ is false. Therefore, the point $(2, 8)$ does not satisfy the inequality $y \geq 2x + 8$ .

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