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Is (1, 9)(1,\ 9) a solution to this system of inequalities?\newliney>2x+4y > 2x + 4\newliney>x+1y > x + 1\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (1, 9)(1,\ 9) a solution to this system of inequalities?\newliney>2x+4y > 2x + 4\newliney>x+1y > x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,9)(1, 9) satisfies the first inequality y>2x+4y > 2x + 4. Substitute x=1x = 1 and y=9y = 9 into the inequality. 9>2(1)+49 > 2(1) + 4 9>2+49 > 2 + 4 9>69 > 6 The point (1,9)(1, 9) satisfies the first inequality.
  2. Check Second Inequality: Check if (1,9)(1, 9) satisfies the second inequality y>x+1y > x + 1. Substitute x=1x = 1 and y=9y = 9 into the inequality. 9>1+19 > 1 + 1 9>29 > 2 The point (1,9)(1, 9) satisfies the second inequality.
  3. Solution to the System: Since (1,9)(1, 9) satisfies both inequalities, it is a solution to the system.

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