Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is (6,8)(6,\,8) a solution to this system of inequalities?\newliney < 8x + 9\newlineyx+2y \geq x + 2\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (6,8)(6,\,8) a solution to this system of inequalities?\newliney<8x+9y < 8x + 9\newlineyx+2y \geq x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (6,8)(6, 8): Does the point (6,8)(6, 8) satisfy the inequality y < 8x + 9?\newlineSubstitute x=6x = 6 and y=8y = 8 into the inequality y < 8x + 9.\newline8 < 8 \times 6 + 9\newline8 < 48 + 9\newline8 < 57\newlineThe point (6,8)(6, 8) satisfies the inequality y < 8x + 9.
  2. Verify Inequality: Does the point (6,8)(6, 8) satisfy the inequality yx+2y \geq x + 2?\newlineSubstitute x=6x = 6 and y=8y = 8 into the inequality yx+2y \geq x + 2.\newline86+28 \geq 6 + 2\newline888 \geq 8\newlineThe point (6,8)(6, 8) satisfies the inequality yx+2y \geq x + 2.
  3. Solution to System: Is (6,8)(6, 8) a solution to the system of inequalities?\newlineSince the point (6,8)(6, 8) satisfies both inequalities y < 8x + 9 and yx+2y \geq x + 2, it is a solution to the system of inequalities.

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