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Is $(1,\,8)$ a solution to the inequality $y \geq 5x + 3$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1,\,8)

a solution to the inequality

y \geq 5x + 3

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 8)$ into the inequality $y \geq 5x + 3$ . The substituted inequality is $8 \geq 5(1) + 3$ .
Simplify right side: Simplify the right side of the inequality $5(1) + 3$ . This simplifies to $5 + 3$ , which equals $8$ .
Check if inequality is true: The inequality now reads $8 \geq 8$ . Determine if this statement is true. Since $8$ is equal to $8$ , the inequality holds true because the inequality allows for $y$ to be greater than or equal to $5x + 3$ .
Verify solution: Since the statement $8 \geq 8$ is true, the point $(1, 8)$ is indeed a solution to the inequality $y \geq 5x + 3$ .

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