IDNStudy.com, ang iyong destinasyon para sa malinaw at mabilis na mga sagot. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

.Which of the following is a solution of the linear inequality: - 5 < 2x - 3 < 7?
a. -1
b.0
c.5
d. 10


Sagot :

-5 < 2x - 3 < 7 ---> -5 + 3 < 2x - 3 + 3 < 7 + 3 --> -2 < 2x < 10 --> (-2/2) < (2x/2) < (10/2) --> -1 < x < 5. The answer is B or 0 because 0 is included in the set (-1, 5).
[tex]- 5 < 2x - 3 < 7 \\ \\2x-3> -5 \ \ \wedge \ \ 2x-3 < 7 \ \ | \ add\ 2x\ to\ both\ sides \\ \\2x -3+3> -5+3 \ \ \wedge \ \ 2x-3+3 < 7 +3\\\\2x > -2 \ \ \wedge \ \ 2x <10 \ \ | \ divide \ both \ sides\ by\ 2 \\\\ x > -1 \ \ \wedge \ \ x < 5 \\\\Answer : \ b. \ 0 [/tex]
View image Riza1