Is (1, 1) a solution to this system of inequalities? 10x + 4y ≥ 14 9x + y < 13 Choices: (A)yes (B)no

Check Point (1, 1): Does the point (1, 1) satisfy the inequality 10x + 4y ≥ 14? Substitute 1 for x and 1 for y in 10x + 4y ≥ 14. 10(1) + 4(1) ≥ 14 10 + 4 ≥ 14 14 ≥ 14 Since 14 ≥ 14 is true, (1, 1) satisfies the inequality 10x + 4y ≥ 14.Verify Inequality 10x + 4y ≥ 14: Does the point (1, 1) satisfy the inequality 9x + y < 13? Substitute 1 for x and 1 for y in 9x + y < 13. 9(1) + 1 < 13 9 + 1 < 13 10 < 13 Since 10 < 13 is true, (1, 1) satisfies the inequality 9x + y < 13.Verify Inequality 9x + y < 13: Is (1, 1) a solution to the system of inequalities? Since (1, 1) satisfies both inequalities 10x + 4y ≥ 14 and 9x + y < 13, (1, 1) 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 $(1,\ 1)$ a solution to this system of inequalities? $\newline$ $10x + 4y \geq 14$ $\newline$ 9x + y < 13 $\newline$ 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,\ 1)

a solution to this system of inequalities?

\newline

10x + 4y \geq 14

\newline

9x + y < 13

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $1, 1$ : Does the point $1, 1$ satisfy the inequality $10x + 4y \geq 14$ ? $\newline$ Substitute $1$ for $x$ and $1$ for $y$ in $10x + 4y \geq 14$ . $\newline$ $10(1) + 4(1) \geq 14$ $\newline$ $10 + 4 \geq 14$ $\newline$ $1, 1$ $0$ $\newline$ Since $1, 1$ $0$ is true, $1, 1$ satisfies the inequality $10x + 4y \geq 14$ .
Verify Inequality $10x + 4y \geq 14$ : Does the point $(1, 1)$ satisfy the inequality 9x + y < 13? $\newline$ Substitute $1$ for $x$ and $1$ for $y$ in 9x + y < 13. $\newline$ 9(1) + 1 < 13 $\newline$ 9 + 1 < 13 $\newline$ $(1, 1)$ $0$ $\newline$ Since $(1, 1)$ $0$ is true, $(1, 1)$ satisfies the inequality 9x + y < 13.
Verify Inequality 9x + y < 13: Is $(1, 1)$ a solution to the system of inequalities? $\newline$ Since $(1, 1)$ satisfies both inequalities $10x + 4y \geq 14$ and 9x + y < 13, $(1, 1)$ is indeed a solution to the system of inequalities.