# which point lies in the solution set for the following system of inequalities? 2x y>8, x-y<2?

which point lies in the solution set for the following system of inequalities? 2x y>8, x-y<2?/>

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undoubtedly

2/2 + 1 = 2

### Answered:How to solve: (x + 6) -1 (2x + 7) -3x = -9

Hi Lisa (x + 6) -1*(2x + 7) -3x = -9 X + 6 -2X -7 -3X = -9 -4X -1 = -9 4X = 8 X = 2 Let us check uf the answer is correct (put 2 instead of X and check if it balances: (2+ 6) -1 (2*2 + 7) -3*2 = -9 8 -1*( 4 +7) -6 = -9 8 -11 -6 = -9 -9 = -9 Yes it balnces. So the answer is OK. If ...

7.27

### Answered:Which number is a solution of the inequality? 12 < y(8-y)?

12 < y(8-y) can be rearranged as y^2 -8y +12 < 0, which can be factored as (y-2)(y-6) < 0 which is true for 2<y<6 where y-6 is negative and y-2 is positive. So for example, y = 4 gives 12 < 4(4) = 16, y=3 gives 12 < 3(5) = 15.

thank u

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### Which number when substituted for y is a solution to the following

Without the inequality, there is no solution.

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