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Does the point $(5,\ 10)$ satisfy the inequality $y \geq 8x + 8$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(5,\ 10)

satisfy the inequality

y \geq 8x + 8

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values of the point $(5, 10)$ into the inequality $y \geq 8x + 8$ . The substituted inequality is $10 \geq 8(5) + 8$ .
Calculate right side: Calculate the right side of the inequality $8(5) + 8$ . Simplify this to get $40 + 8$ , which equals $48$ .
Compare sides: Compare the left side of the inequality, which is $10$ , with the right side, which we calculated to be $48$ . The inequality becomes $10 \geq 48$ .
Determine truth: Determine if the inequality $10 \geq 48$ is true. Since $10$ is not greater than or equal to $48$ , the inequality is false. Therefore, the point $(5, 10)$ does not satisfy the inequality $y \geq 8x + 8$ .

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