Solve the absolute value inequality|2x+3|≥|x−7|

Step-by-step explanation:

Given

here we will divide x interval in 3 case

case

let us take x=-2

|-1| is not greater than |-9|

thus is not possible

Case    

Take x=0

|3| is less than |-7|

thus for   equality is not satisfied

Case 3  

take x=7

|17| is greater than |0|

Thus for is the required region

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

529 and 531

step-by-step explanation: