Tania has already saved $25.75. She needs at least $53.88 to buy a set of headphones. Write and solve an inequality that shows how much more she needs to earn to buy headphones.

x + 25.75 ≥ 53.88

She needs to earn $28.13  more to buy the headphones.

Step-by-step explanation:

Hi, to answer this question we have to add the amount of money saved by Tania (25) and the amount of money she needs to earn (x). That expression must be higher or equal to the price of the headphones (53.88)

Mathematically speaking

x + 25.75 ≥ 53.88

Solving:

x ≥ 53.88 -25.75

x ≥ 28.13

She needs to earn $28.13 more to buy the headphones.

Feel free to ask for more if needed or if you did not understand something.

idk the answer but just put a

step-by-step explanation:

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}