Is (4, 1) a solution to this system of inequalities? x + 14y ≤ 18 2x + 4y < 18 Choices: (A)yes (B)no

Check Point (4, 1): Does the point (4, 1) satisfy the inequality x + 14y ≤ 18? Substitute 4 for x and 1 for y in x + 14y ≤ 18. 4 + 14(1) ≤ 18 4 + 14 ≤ 18 18 ≤ 18 Since 18 ≤ 18 is true, (4, 1) satisfies the inequality x + 14y ≤ 18.Verify Inequality x + 14y ≤ 18: Does the point (4, 1) satisfy the inequality 2x + 4y < 18? Substitute 4 for x and 1 for y in 2x + 4y < 18. 2(4) + 4(1) < 18 8 + 4 < 18 12 < 18 Since 12 < 18 is true, (4, 1) satisfies the inequality 2x + 4y < 18.Verify Inequality 2x + 4y < 18: Is (4, 1) a solution to the system of inequalities? Since (4, 1) satisfies both inequalities x + 14y ≤ 18 and 2x + 4y < 18, it is a solution to the system of inequalities.

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Is $(4,\,1)$ a solution to this system of inequalities? $\newline$ $x + 14y \leq 18$ $\newline$ 2x + 4y < 18 $\newline$ 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

(4,\,1)

a solution to this system of inequalities?

\newline

x + 14y \leq 18

\newline

2x + 4y < 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $4, 1$ : Does the point $4, 1$ satisfy the inequality $x + 14y \leq 18$ ? $\newline$ Substitute $4$ for $x$ and $1$ for $y$ in $x + 14y \leq 18$ . $\newline$ $4 + 14(1) \leq 18$ $\newline$ $4 + 14 \leq 18$ $\newline$ $4, 1$ $0$ $\newline$ Since $4, 1$ $0$ is true, $4, 1$ satisfies the inequality $x + 14y \leq 18$ .
Verify Inequality $x + 14y \leq 18$ : Does the point $(4, 1)$ satisfy the inequality 2x + 4y < 18? $\newline$ Substitute $4$ for $x$ and $1$ for $y$ in 2x + 4y < 18. $\newline$ 2(4) + 4(1) < 18 $\newline$ 8 + 4 < 18 $\newline$ $(4, 1)$ $0$ $\newline$ Since $(4, 1)$ $0$ is true, $(4, 1)$ satisfies the inequality 2x + 4y < 18.
Verify Inequality 2x + 4y < 18: Is $(4, 1)$ a solution to the system of inequalities? $\newline$ Since $(4, 1)$ satisfies both inequalities $x + 14y \leq 18$ and 2x + 4y < 18, it is a solution to the system of inequalities.