Solve the given inequalitiesa) 2x +3> 15​

( 3 , 9 )

Step-by-step explanation:

First, add  

3

to each segment of the system of inequalities to isolate the  

x  term while keeping the system balanced:

3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18  6 < 2 x < 18

, divide each segment by  2

to solve for  x

while keeping the system balanced:

6 2 < 2 x 2 < 18  2  3 < 2 x 2 < 9  3 < x <  9  Or  x > 3 ;  x< 9

Brainliest?

three-fourths of an hour

36÷48=0.75

0.75=

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}