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.

go and ask your mom to you

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: