The answer is: " x < -3 " .
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Explanation:
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Given:
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" 9(2x + 1) < 9x – 18 " ;
First , factor out a "9" in the expression on the right-hand side of the inequality:
9x – 18 = 9(x – 2) ;
and rewrite the inequality:
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9(2x + 1) < 9(x – 2) ;
Now, divide EACH SIDE of the inequality by "9" ;
[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;
to get:
2x + 1 < x – 2 ;
Now, subtract "x" and add "2" to each side of the inequality:
2x + 1 – x + 2 < x – 2 – x + 2 ;
to get:
x + 3 < 0 ;
Subtract "3" from EACH SIDE ;
x + 3 – 3 < 0 – 3 ;
to get:
" x < -3 " .
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Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
Answer:

Step-by-step explanation:
P(AUB) is P(A) + P(B) because P(AnB) is zero.

Answer:
$ 500
Step-by-step explanation:
Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)
Answer:
A. Intercepted arc.
Step-by-step explanation:
From Geometry we know that arc (
), dimensionless, is measured by the following equation:
(1)
Where:
- Central angle, measured in radians.
- Radius, dimensionless.
If the circle has a radius of 1. Then, we notice that arc is directly proportional to the central angle. Hence, the right answer is A.