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, 6)(1,\,6) a solution to this system of inequalities?\newline2x+2y<152x + 2y < 15\newlinex+2y≥13x + 2y \geq 13\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, 6)(1,\,6) a solution to this system of inequalities?\newline2x+2y<152x + 2y < 15\newlinex+2y≥13x + 2y \geq 13\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,6)(1, 6) satisfies the first inequality 2x+2y<152x + 2y < 15. Substitute x=1x = 1 and y=6y = 6. 2(1)+2(6)<152(1) + 2(6) < 15 2+12<152 + 12 < 15 14<1514 < 15 The point (1,6)(1, 6) satisfies the first inequality.
  2. Check Second Inequality: Check if (1,6)(1, 6) satisfies the second inequality x+2y≥13x + 2y \geq 13. Substitute x=1x = 1 and y=6y = 6. 1+2(6)≥131 + 2(6) \geq 13 1+12≥131 + 12 \geq 13 13≥1313 \geq 13 The point (1,6)(1, 6) satisfies the second inequality.
  3. Solution Verification: Since (1,6)(1, 6) 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 (123)