Is (1, 6) a solution to this system of inequalities? 2x + 2y < 15 x + 2y ≥ 13 Choices: (A)yes (B)no

Check First Inequality: Check if (1, 6) satisfies the first inequality 2x + 2y < 15. Substitute x = 1 and y = 6. 2(1) + 2(6) < 15 2 + 12 < 15 14 < 15 The point (1, 6) satisfies the first inequality.Check Second Inequality: Check if (1, 6) satisfies the second inequality x + 2y ≥ 13. Substitute x = 1 and y = 6. 1 + 2(6) ≥ 13 1 + 12 ≥ 13 13 ≥ 13 The point (1, 6) satisfies the second inequality.Solution Verification: Since (1, 6) satisfies both inequalities, it is a solution to the system.

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Is $(1,\,6)$ a solution to this system of inequalities? $\newline$ 2x + 2y < 15 $\newline$ $x + 2y \geq 13$ $\newline$ 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,\,6)

a solution to this system of inequalities?

\newline

2x + 2y < 15

\newline

x + 2y \geq 13

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 6)$ satisfies the first inequality 2x + 2y < 15. Substitute $x = 1$ and $y = 6$ . 2(1) + 2(6) < 15 2 + 12 < 15 14 < 15 The point $(1, 6)$ satisfies the first inequality.
Check Second Inequality: Check if $(1, 6)$ satisfies the second inequality $x + 2y \geq 13$ . Substitute $x = 1$ and $y = 6$ . $1 + 2(6) \geq 13$ $1 + 12 \geq 13$ $13 \geq 13$ The point $(1, 6)$ satisfies the second inequality.
Solution Verification: Since $(1, 6)$ satisfies both inequalities, it is a solution to the system.