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3 years ago

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

Mathematics

1 answer:

Ann [662]3 years ago

6 0

Answer:

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

Step-by-step explanation:

<h3>Area of the figures</h3>

<u>Rectangle:</u>

4(x - 2) = 4x - 8

<u>Triangle:</u>

1/2*3*4 = 6

<u>The difference between the areas, inequality:</u>

| 4x - 8 - 6 | < 8

<u>Solution</u>

| 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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