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)
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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