sstewart2004
sstewart2004 sstewart2004
  • 24-10-2021
  • Mathematics
contestada

Solve for -2(x + 3) > 9 + 3x

Respuesta :

renknee
renknee renknee
  • 24-10-2021

Answer:

x < -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex](-2)(x) + (-2)(3) > 3x + 9[/tex]
  • [tex]-2x - 6 > 3x + 9[/tex]

Step 2: Subtract 3x from both sides.

  • [tex]-2x - 6 -3x > 3x + 9 - 3x[/tex]
  • [tex]-5x - 6 > 9[/tex]

Step 3: Add 6 to both sides.

  • [tex]-5x - 6 + 6 > 9 + 6[/tex]
  • [tex]-5x > 15[/tex]

Step 4: Divide both sides by -5.

  • [tex]\frac{-5x}{-5} > \frac{15}{-5}[/tex]
  • [tex]x < -3[/tex]

Therefore, x < -3.

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