Is (2, 1) a solution to this system of inequalities? 4x + y < 15 2x + 16y ≥ 20 Choices: (A)yes (B)no

Check Point (2, 1): Check if the point (2, 1) satisfies the inequality 4x + y < 15. Substitute x = 2 and y = 1 into the inequality. 4(2) + 1 < 15 8 + 1 < 15 9 < 15 Since 9 is less than 15, the point (2, 1) satisfies the first inequality.Check Inequality 1: Check if the point (2, 1) satisfies the inequality 2x + 16y ≥ 20. Substitute x = 2 and y = 1 into the inequality. 2(2) + 16(1) ≥ 20 4 + 16 ≥ 20 20 ≥ 20 Since 20 is equal to 20, the point (2, 1) satisfies the second inequality as well.Check Inequality 2: Determine if the point (2, 1) is a solution to the system of inequalities. Since the point (2, 1) satisfies both inequalities, it is a solution to the system.

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Is $(2,\,1)$ a solution to this system of inequalities? $\newline$ 4x + y < 15 $\newline$ $2x + 16y \geq 20$ $\newline$ 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

(2,\,1)

a solution to this system of inequalities?

\newline

4x + y < 15

\newline

2x + 16y \geq 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(2, 1)$ : Check if the point $(2, 1)$ satisfies the inequality 4x + y < 15. Substitute $x = 2$ and $y = 1$ into the inequality. 4(2) + 1 < 15 8 + 1 < 15 9 < 15 Since $9$ is less than $15$ , the point $(2, 1)$ satisfies the first inequality.
Check Inequality $1$ : Check if the point $(2, 1)$ satisfies the inequality $2x + 16y \geq 20$ . Substitute $x = 2$ and $y = 1$ into the inequality. $2(2) + 16(1) \geq 20$ $4 + 16 \geq 20$ $20 \geq 20$ Since $20$ is equal to $20$ , the point $(2, 1)$ satisfies the second inequality as well.
Check Inequality $2$ : Determine if the point $(2, 1)$ is a solution to the system of inequalities. $\newline$ Since the point $(2, 1)$ satisfies both inequalities, it is a solution to the system.