two-fifths of one less than a number is less than three-fifths of one more than that number. what numbers are in the solution set
of this problem?
x< -5
x> -5
x> -1
x< -l

x > -5

Step-by-step explanation:

2/5 (x − 1) < 3/5 (x + 1)

Multiply both sides by 5:

2 (x − 1) < 3 (x + 1)

Distribute:

2x − 2 < 3x + 3

Subtract 2x and 3 from both sides:

-5 < x

Therefore, 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: