Is (1, 2) a solution to this system of inequalities? 10x + 2y ≥ 14 x + 4y ≤ 10 Choices: (A)yes (B)no

Check Point (1, 2): Does the point (1, 2) satisfy the inequality 10x + 2y ≥ 14? Substitute x = 1 and y = 2 into the inequality 10x + 2y ≥ 14. 10(1) + 2(2) ≥ 14 10 + 4 ≥ 14 14 ≥ 14 The point (1, 2) satisfies the inequality 10x + 2y ≥ 14.Verify Inequality 1: Does the point (1, 2) satisfy the inequality x + 4y ≤ 10? Substitute x = 1 and y = 2 into the inequality x + 4y ≤ 10. 1 + 4(2) ≤ 10 1 + 8 ≤ 10 9 ≤ 10 The point (1, 2) satisfies the inequality x + 4y ≤ 10.Verify Inequality 2: Is (1, 2) a solution to the system of inequalities? Since (1, 2) satisfies both inequalities 10x + 2y ≥ 14 and x + 4y ≤ 10, it is a solution to the system of inequalities.

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Is $(1,\,2)$ a solution to this system of inequalities? $\newline$ $10x + 2y \geq 14$ $\newline$ $x + 4y \leq 10$ $\newline$ 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,\,2)

a solution to this system of inequalities?

\newline

10x + 2y \geq 14

\newline

x + 4y \leq 10

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 2)$ : Does the point $(1, 2)$ satisfy the inequality $10x + 2y \geq 14$ ? $\newline$ Substitute $x = 1$ and $y = 2$ into the inequality $10x + 2y \geq 14$ . $\newline$ $10(1) + 2(2) \geq 14$ $\newline$ $10 + 4 \geq 14$ $\newline$ $14 \geq 14$ $\newline$ The point $(1, 2)$ satisfies the inequality $10x + 2y \geq 14$ .
Verify Inequality $1$ : Does the point $(1, 2)$ satisfy the inequality $x + 4y \leq 10$ ? $\newline$ Substitute $x = 1$ and $y = 2$ into the inequality $x + 4y \leq 10$ . $\newline$ $1 + 4(2) \leq 10$ $\newline$ $1 + 8 \leq 10$ $\newline$ $9 \leq 10$ $\newline$ The point $(1, 2)$ satisfies the inequality $x + 4y \leq 10$ .
Verify Inequality $2$ : Is $(1, 2)$ a solution to the system of inequalities? $\newline$ Since $(1, 2)$ satisfies both inequalities $10x + 2y \geq 14$ and $x + 4y \leq 10$ , it is a solution to the system of inequalities.