Respuesta :

 3/4(x + 8) > 1/2(2x + 10)
0.75x + 6 > x + 5
0.75x - x > 5 - 6
-0.25x > -1 
0.25x < 1
x < 1/0.25
x < 4

C (-∞, 4) 

The solution to the inequality 3/4(x + 8) > 1/2(2x + 10) is  (-∞, 4). Hence option C is correct.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is solved as:-

3/4(x + 8) > 1/2(2x + 10)

0.75x + 6 > x + 5

0.75x - x > 5 - 6

-0.25x > -1

0.25x < 1

x < 1/0.25

x < 4

Hence option C is correct.

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