yvonneeechang87 yvonneeechang87
  • 24-10-2021
  • Mathematics
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show the solution 3x+7 ≤5x-9

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DieKatze
DieKatze DieKatze
  • 24-10-2021

1.1     Pull out like factors :

  -2x + 2  =   -2 • (x - 1)

2.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

x = 1

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discipulus
discipulus discipulus
  • 24-10-2021

Answer:

[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]

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