Is (1, 4) a solution to this system of inequalities? y ≤ x + 3 y ≤ 7x + 3 Choices: (A)yes (B)no

Check Point (1, 4): Does the point (1, 4) satisfy the inequality y ≤ x + 3? Substitute 1 for x and 4 for y in y ≤ x + 3. 4 ≤ 1 + 3 4 ≤ 4 Since 4 ≤ 4 is true, (1, 4) satisfies y ≤ x + 3.Verify Inequality y ≤ x + 3: Does the point (1, 4) satisfy the inequality y ≤ 7x + 3? Substitute 1 for x and 4 for y in y ≤ 7x + 3. 4 ≤ 7(1) + 3 4 ≤ 7 + 3 4 ≤ 10 Since 4 ≤ 10 is true, (1, 4) satisfies y ≤ 7x + 3.Verify Inequality y ≤ 7x + 3: Is (1, 4) a solution to the system of inequalities? Since (1, 4) satisfies both inequalities y ≤ x + 3 and y ≤ 7x + 3, it is a solution to the system of inequalities.

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Is $(1,\ 4)$ a solution to this system of inequalities? $\newline$ $y \leq x + 3$ $\newline$ $y \leq 7x + 3$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 1

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

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Q. Is

(1,\ 4)

a solution to this system of inequalities?

\newline

y \leq x + 3

\newline

y \leq 7x + 3

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 4)$ : Does the point $(1, 4)$ satisfy the inequality $y \leq x + 3$ ? $\newline$ Substitute $1$ for $x$ and $4$ for $y$ in $y \leq x + 3$ . $\newline$ $4 \leq 1 + 3$ $\newline$ $4 \leq 4$ $\newline$ Since $4 \leq 4$ is true, $(1, 4)$ satisfies $y \leq x + 3$ .
Verify Inequality $y \leq x + 3$ : Does the point $(1, 4)$ satisfy the inequality $y \leq 7x + 3$ ? $\newline$ Substitute $1$ for $x$ and $4$ for $y$ in $y \leq 7x + 3$ . $\newline$ $4 \leq 7(1) + 3$ $\newline$ $4 \leq 7 + 3$ $\newline$ $(1, 4)$ $0$ $\newline$ Since $(1, 4)$ $0$ is true, $(1, 4)$ satisfies $y \leq 7x + 3$ .
Verify Inequality $y \leq 7x + 3$ : Is $(1, 4)$ a solution to the system of inequalities? $\newline$ Since $(1, 4)$ satisfies both inequalities $y \leq x + 3$ and $y \leq 7x + 3$ , it is a solution to the system of inequalities.