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The difference between the areas of the figures is less than 8.

An absolute value inequality that represents this situation is _.
The solution of the inequality is_.

The difference between the areas of the figures is less than 8 An absolute value inequality that represents this situation is The solution of the inequality is class=

Respuesta :

mhanifa

Answer:

  • | 4x - 8 - 6 | < 8
  • 1.5 < x < 5.5

Step-by-step explanation:

Area of the figures

Rectangle:

  • 4(x - 2) = 4x - 8

Triangle:

  • 1/2*3*4 = 6

The difference between the areas, inequality:

  • | 4x - 8 - 6 | < 8

Solution

  • | 4x - 14 |< 8
  • 1. 4x - 14 < 8 ⇒ 4x < 22 ⇒ x < 22/4 ⇒ x < 5.5
  • 2. 4x - 14 > -8 ⇒ 4x > 6 ⇒ x > 6/4 ⇒ x > 1.5
  • x = (1.5, 5.5)
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