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The solution to the system of equations is x > 7 and x ≤ -1

Given the inequality expressions

−6x+14<−28 and 3x+28≤25

Solve the inequalities individually

For the inequality −6x+14<−28

-6x < -14 - 28

-6x < -42

x > -42/-6

x > 7

For the inequality 3x+28≤25

3x ≤ 25 - 28

3x ≤ - 3

x ≤ -1

Combining both inequalities, the solution to the system of equations are x > 7 and x ≤ -1

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