aliyaperkins aliyaperkins
  • 03-05-2021
  • Mathematics
contestada

Write an inequality that models the solution for 3x + 4.5 ≤ 5(x - 2)

Respuesta :

raredarkicyfox
raredarkicyfox raredarkicyfox
  • 03-05-2021

Answer:

x ≤ 7.25

Step-by-step explanation:

1) [tex]3x + 4.5[/tex] ≤ [tex]5(x - 2)[/tex]

Distribute 5 through the parenthesis.

2)  [tex]3x + 4.5[/tex] ≤ [tex]5x - 10[/tex]

Move the variable to the left side and change it's sign.

3)  [tex]3x + 4.5 - 5x[/tex] ≤ [tex]- 10[/tex]

Move the constant to the right side and change it's sign.

4)  [tex]3x - 5x[/tex] ≤ [tex]- 10- 4.5[/tex]

Subtract the like terms.

5) [tex]-2x[/tex] ≤ [tex]-14.5[/tex]

Divide both sides of the inequality by -2.

6) [tex]x[/tex] ≤ [tex]7.25[/tex]

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