Is (1, 2) a solution to this system of inequalities? 6x + y ≥ 8 2x + 7y < 19 Choices: (A)yes (B)no

Check Inequality 1: Check if the point (1, 2) satisfies the inequality 6x + y ≥ 8. Substitute x = 1 and y = 2 into the inequality. 6(1) + 2 ≥ 8 6 + 2 ≥ 8 8 ≥ 8 Since 8 is equal to 8, the inequality holds true.Check Inequality 2: Check if the point (1, 2) satisfies the inequality 2x + 7y < 19. Substitute x = 1 and y = 2 into the inequality. 2(1) + 7(2) < 19 2 + 14 < 19 16 < 19 Since 16 is less than 19, the inequality holds true.Determine Solution: Determine if (1, 2) is a solution to the system of inequalities. Since the point (1, 2) satisfies both inequalities: 6x + y ≥ 8 (true) 2x + 7y < 19 (true) The point (1, 2) is indeed a solution to the system of inequalities.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(1,\,2)$ a solution to this system of inequalities? $\newline$ $6x + y \geq 8$ $\newline$ 2x + 7y < 19 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

Home

Math Problems

Algebra 1

Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Is

(1,\,2)

a solution to this system of inequalities?

\newline

6x + y \geq 8

\newline

2x + 7y < 19

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $1$ : Check if the point $(1, 2)$ satisfies the inequality $6x + y \geq 8$ . Substitute $x = 1$ and $y = 2$ into the inequality. $6(1) + 2 \geq 8$ $6 + 2 \geq 8$ $8 \geq 8$ Since $8$ is equal to $8$ , the inequality holds true.
Check Inequality $2$ : Check if the point $(1, 2)$ satisfies the inequality 2x + 7y < 19. $\newline$ Substitute $x = 1$ and $y = 2$ into the inequality. $\newline$ 2(1) + 7(2) < 19 $\newline$ 2 + 14 < 19 $\newline$ 16 < 19 $\newline$ Since $16$ is less than $19$ , the inequality holds true.
Determine Solution: Determine if $(1, 2)$ is a solution to the system of inequalities. $\newline$ Since the point $(1, 2)$ satisfies both inequalities: $\newline$ $6x + y \geq 8$ (true) $\newline$ 2x + 7y < 19 (true) $\newline$ The point $(1, 2)$ is indeed a solution to the system of inequalities.