Is (2, 9) a solution to this system of inequalities? y > x + 2 y ≥ 8x + 2 Choices: (A)yes (B)no

Check First Inequality: Check if (2, 9) satisfies the first inequality y > x + 2. Substitute x = 2 and y = 9 into the inequality. 9 > 2 + 2 9 > 4 This is true.Check Second Inequality: Check if (2, 9) satisfies the second inequality y ≥ 8x + 2. Substitute x = 2 and y = 9 into the inequality. 9 ≥ 8 * 2 + 2 9 ≥ 16 + 2 9 ≥ 18 This is false.

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Is $(2,\,9)$ a solution to this system of inequalities? $\newline$ y > x + 2 $\newline$ $y \geq 8x + 2$ $\newline$ 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

(2,\,9)

a solution to this system of inequalities?

\newline

y > x + 2

\newline

y \geq 8x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(2, 9)$ satisfies the first inequality y > x + 2. $\newline$ Substitute $x = 2$ and $y = 9$ into the inequality. $\newline$ 9 > 2 + 2 $\newline$ 9 > 4 $\newline$ This is true.
Check Second Inequality: Check if $(2, 9)$ satisfies the second inequality $y \geq 8x + 2$ . $\newline$ Substitute $x = 2$ and $y = 9$ into the inequality. $\newline$ $9 \geq 8 \times 2 + 2$ $\newline$ $9 \geq 16 + 2$ $\newline$ $9 \geq 18$ $\newline$ This is false.