Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. show your work.

-3/2 ≤ x < 5

Step-by-step explanation:

2x - 3 < x + 2 ≤ 3x + 5

2x - 3 < x + 2  

2x - x -3 < x - x + 2

x - 3 < 2  

x - 3 + 3 < 2 + 3

x < 5  

x + 2 ≤ 3x + 5  

x - x + 2 ≤ 3x - x + 5

2 ≤ 2x + 5  

2 - 5 ≤ 2x + 5 - 5

-3 ≤ 2x  

(1/2) -3 ≤ 2x (1/2)

-3/2 ≤ x  

-3/2 ≤ x < 5

b. -7,185,024p6q5

step-by-step explanation:

find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5 select the best answer from the choices provided a b c d

1 3 5

step-by-step explanation:

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