Three times a number increased by 8 is no more than the number decreased by 4. find the number ( write and solve )

Three times a number =   3x

Increased by 8 =               + 8

So far we have:  3x + 8

no more than =    <=  

the number decreased by 4 =  x -4

Put it all together and we have:

3x + 8 <= x - 4

Solve for x

3x + 8 <= x - 4

3x - x <= -4 - 8

2x <= -12

2x / 2 <= -12 / 2

x <= -6

-6 is the number / answer.

(23*2)-12=x     x=34

step-by-step explanation:

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: