12x > 10(2x-3) -10 12x > 20x - 30 - 10
12x > 20x - 40
12x - 20x > -40
8x > -40
X > -5

no

Step-by-step explanation:

12x-20x=-8x

so it would be -8x>-40

and you would divide both sides by -8

and get x<5

x < 5

Step-by-step explanation:

12x > 10(2x - 3) - 10 ← distribute parenthesis and simplify right side

12x > 20x - 30 - 10

12x > 20x - 40 ( subtract 20x from both sides )

- 8x > - 40

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < 5

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: