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Is (9,1)(9,\,1) a solution to this system of inequalities?\newline2x+y192x + y \geq 19\newline4x + 2y > 2\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (9,1)(9,\,1) a solution to this system of inequalities?\newline2x+y192x + y \geq 19\newline4x+2y>24x + 2y > 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality 11: Check if the point (9,1)(9, 1) satisfies the inequality 2x+y192x + y \geq 19. Substitute x=9x = 9 and y=1y = 1 into the inequality. 2(9)+1192(9) + 1 \geq 19 18+11918 + 1 \geq 19 191919 \geq 19 Since 1919 is equal to 1919, the inequality holds true.
  2. Check Inequality 22: Check if the point (9,1)(9, 1) satisfies the inequality 4x + 2y > 2. Substitute x=9x = 9 and y=1y = 1 into the inequality. 4(9) + 2(1) > 2 36 + 2 > 2 38 > 2 Since 3838 is greater than 22, the inequality holds true.
  3. Determine Solution: Determine if (9,1)(9, 1) is a solution to the system of inequalities.\newlineSince the point (9,1)(9, 1) satisfies both inequalities:\newline2x+y192x + y \geq 19 (true)\newline4x + 2y > 2 (true)\newlineThe point (9,1)(9, 1) is indeed a solution to the system of inequalities.

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