Respuesta :

renknee

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex]
  • [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]

Step 2: Add 3x to both sides.

  • [tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex]
  • [tex]\frac{21}{2}x + 10 < 6[/tex]

Step 3: Subtract 10 from both sides.

  • [tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex]
  • [tex]\frac{21}{2}x < -4[/tex]

Step 4: Multiply both sides by 2/21.

  • [tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]

Therefore, the answer is x < -8/21.