Which linear inequality is represented by the graph? y > 2x + 2 y ≥ x + 1 y > 2x + 1 y ≥ x + 2

Step 1

Find the slope of the line

Let

the slope is equal to

substitute

Find the equation of the line

we know that

the equation of the line into slope-intercept form is

where

m is the slope

b is the y-intercept

in this problem we have

------> the y-intercept is the point A

substitute

Step 2

Find the equation of the inequality

we know that

the solution is the shaded area above the dotted line

so

above dotted line---------> represent the symbol ()

the inequality is

therefore

the answer is

a box 3 3/4 feet long or 4+ feet.

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: