Is (1, 9) a solution to this system of inequalities? y ≥ x + 8 y ≤ 8x + 1 Choices: (A)yes (B)no

Check Point (1, 9): Does the point (1, 9) satisfy the inequality y ≥ x + 8? Substitute x = 1 and y = 9 into the inequality y ≥ x + 8. 9 ≥ 1 + 8 9 ≥ 9 The point (1, 9) satisfies the inequality y ≥ x + 8.Verify Inequality: Does the point (1, 9) satisfy the inequality y ≤ 8x + 1? Substitute x = 1 and y = 9 into the inequality y ≤ 8x + 1. 9 ≤ 8 * 1 + 1 9 ≤ 8 + 1 9 ≤ 9 The point (1, 9) satisfies the inequality y ≤ 8x + 1.Solution to System: Is (1, 9) a solution to the system of inequalities? Since (1, 9) satisfies both inequalities y ≥ x + 8 and y ≤ 8x + 1, it is a solution to the system of inequalities.

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Is $(1,\,9)$ a solution to this system of inequalities? $\newline$ $y \geq x + 8$ $\newline$ $y \leq 8x + 1$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 2

Is (x, y) a solution to the system of inequalities?

Full solution

Q. Is

(1,\,9)

a solution to this system of inequalities?

\newline

y \geq x + 8

\newline

y \leq 8x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $1, 9$ : Does the point $1, 9$ satisfy the inequality $y \geq x + 8$ ? $\newline$ Substitute $x = 1$ and $y = 9$ into the inequality $y \geq x + 8$ . $\newline$ $9 \geq 1 + 8$ $\newline$ $9 \geq 9$ $\newline$ The point $1, 9$ satisfies the inequality $y \geq x + 8$ .
Verify Inequality: Does the point $(1, 9)$ satisfy the inequality $y \leq 8x + 1$ ? $\newline$ Substitute $x = 1$ and $y = 9$ into the inequality $y \leq 8x + 1$ . $\newline$ $9 \leq 8 \times 1 + 1$ $\newline$ $9 \leq 8 + 1$ $\newline$ $9 \leq 9$ $\newline$ The point $(1, 9)$ satisfies the inequality $y \leq 8x + 1$ .
Solution to System: Is $(1, 9)$ a solution to the system of inequalities? $\newline$ Since $(1, 9)$ satisfies both inequalities $y \geq x + 8$ and $y \leq 8x + 1$ , it is a solution to the system of inequalities.