Is (1, 5) a solution to this system of inequalities? y ≤ x + 4 y ≤ 8x + 9 Choices: (A)yes (B)no

Check Point (1, 5): Does the point (1, 5) satisfy the inequality y ≤ x + 4? Substitute x = 1 and y = 5 into the inequality y ≤ x + 4. 5 ≤ 1 + 4 5 ≤ 5 The point (1, 5) satisfies the inequality y ≤ x + 4.Verify Inequality y ≤ x + 4: Does the point (1, 5) satisfy the inequality y ≤ 8x + 9? Substitute x = 1 and y = 5 into the inequality y ≤ 8x + 9. 5 ≤ 8 * 1 + 9 5 ≤ 8 + 9 5 ≤ 17 The point (1, 5) satisfies the inequality y ≤ 8x + 9.Verify Inequality y ≤ 8x + 9: Is (1, 5) a solution to the system of inequalities? Since (1, 5) satisfies both inequalities y ≤ x + 4 and y ≤ 8x + 9, it is a solution to the system of inequalities.

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Is $(1,\,5)$ a solution to this system of inequalities? $\newline$ $y \leq x + 4$ $\newline$ $y \leq 8x + 9$ $\newline$ 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,\,5)

a solution to this system of inequalities?

\newline

y \leq x + 4

\newline

y \leq 8x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 5)$ : Does the point $(1, 5)$ satisfy the inequality $y \leq x + 4$ ? $\newline$ Substitute $x = 1$ and $y = 5$ into the inequality $y \leq x + 4$ . $\newline$ $5 \leq 1 + 4$ $\newline$ $5 \leq 5$ $\newline$ The point $(1, 5)$ satisfies the inequality $y \leq x + 4$ .
Verify Inequality $y \leq x + 4$ : Does the point $(1, 5)$ satisfy the inequality $y \leq 8x + 9$ ? $\newline$ Substitute $x = 1$ and $y = 5$ into the inequality $y \leq 8x + 9$ . $\newline$ $5 \leq 8 \times 1 + 9$ $\newline$ $5 \leq 8 + 9$ $\newline$ $5 \leq 17$ $\newline$ The point $(1, 5)$ satisfies the inequality $y \leq 8x + 9$ .
Verify Inequality $y \leq 8x + 9$ : Is $(1, 5)$ a solution to the system of inequalities? $\newline$ Since $(1, 5)$ satisfies both inequalities $y \leq x + 4$ and $y \leq 8x + 9$ , it is a solution to the system of inequalities.