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Solve inequality: 2x - 3(-4x + 2) + 4 ≤ 2x + 4​

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Question:

  • Solve inequality: 2x - 3(-4x + 2) + 4 ≤ 2x + 4

Answer:

  • [tex]\underline{\boxed{\sf{\pink{x \leqslant \frac{1}{2}}}}}[/tex]

Solution:

→ Simplify the equation

  • [tex]2x - 3(-4x +2) + 4 \leqslant 2x + 4[/tex]
  • [tex]2x + 12x - 6 + 4 - 2x - 4 \leqslant 0[/tex]
  • [tex]12x - 6 \leqslant 0[/tex]

[tex]\\[/tex]

  • [tex]12x - 6 \leqslant 0[/tex]
  • [tex]12x \leqslant 6[/tex]
  • [tex]x \leqslant \frac{1}{2}[/tex]

[tex]──────────────────────[/tex]

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