Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is (1,1)(1, 1) a solution to this system of inequalities?\newline3x+16y≥193x + 16y \geq 19\newlinex+2y>1x + 2y > 1\newlineChoices:\newline(A)yes\newline(B)no

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Is (x, y) a solution to the system of inequalities?right chevron icon

Full solution

Q. Is (1,1)(1, 1) a solution to this system of inequalities?\newline3x+16y≥193x + 16y \geq 19\newlinex+2y>1x + 2y > 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,1)(1, 1) satisfies 3x+16y≥193x + 16y \geq 19. Substitute x=1x = 1 and y=1y = 1. 3(1)+16(1)≥193(1) + 16(1) \geq 19 3+16≥193 + 16 \geq 19 19≥1919 \geq 19 This is true, so (1,1)(1, 1) satisfies the first inequality.
  2. Check Second Inequality: Check if (1,1)(1, 1) satisfies x+2y>1x + 2y > 1.\newlineSubstitute x=1x = 1 and y=1y = 1.\newline1+2(1)>11 + 2(1) > 1\newline1+2>11 + 2 > 1\newline3>13 > 1\newlineThis is true, so (1,1)(1, 1) satisfies the second inequality.
  3. Solution Verification: Since (1,1)(1, 1) satisfies both inequalities, it is a solution to the system.

More problems from Is (x, y) a solution to the system of inequalities?

Question
Is (1,2)(1,2) a solution of \newline6x−y>36x-y > 3 ?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 1 month ago

Question
Is \newline(2,2)(2,2) a solution of \newliney≤4x−6y \leq 4x-6?\newlineChoose 11 answer:\newline(A)(A) Yes\newline(B)(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is \newline(1,1)(1,1) a solution of \newline6x−10y≥96x-10y \geq 9?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is \newline(3,2)(3,2) a solution of \newline−8x−2y<6-8x-2y < 6?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is (−5,−5)(-5,-5) a solution of \newliney≥−2x+4y \geq -2x+4?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is (−2,−6)(-2,-6) a solution of \newliney<7x+8y < 7x+8?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is (3,−3)(3,-3) a solution of \newliney≤−5x+3y \leq -5x+3 ?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is \newline(3,4)(3,4) a solution of \newliney<4x−2y < 4x-2?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is (−3,2)(-3,2) a solution of \newline7x+9y>−37x+9y > -3?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

Question
Is (−4,−4)(-4,-4) a solution of \newliney>−6x−1y > -6x-1?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 4 months ago

View all (121)