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Does the point $(1, 10)$ satisfy the inequality $y \geq 5x + 5$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1, 10)

satisfy the inequality

y \geq 5x + 5

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute Values: Substitute the values of the point $(1, 10)$ into the inequality $y \geq 5x + 5$ . The substituted inequality is $10 \geq 5(1) + 5$ .
Simplify Right Side: Simplify the right side of the inequality $5(1) + 5$ . This simplifies to $5 + 5$ , which equals $10$ .
Check Inequality: The inequality now reads $10 \geq 10$ . Determine if this statement is true. Since $10$ is equal to $10$ , the inequality holds true because the 'greater than or equal to' sign includes equality.

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