5x-7> -14+3x -4x+ 5>29+2x

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вопрос

Let's simplify the inequality step by step:

5x - 7 > -14 + 3x
Subtract 3x from both sides:
2x - 7 > -14
Add 7 to both sides:
2x > -7

Next inequality:
-4x + 5 > 29 + 2x
Add 4x to both sides:
5 > 29 + 6x
Subtract 29 from both sides:
-24 > 6x
Divide by 6 (note: since dividing by a negative number, the inequality sign will reverse):
-4 < x

Putting both inequalities together, we have:
-4 < x < -7

Therefore, the solution to the system of inequalities is x is a real number between -7 and -4, excluding -7 and -4.