Question

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

Answer 1

Answer:$x\geq 7$

Step-by-step explanation:

Given

$|2x+3|\geq |x-7|$

here we will divide x interval in 3 case

case $x$

let us take x=-2

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

thus $x$ is not possible

Case     $\frac{-3}{2}$

Take x=0

|3| is less than |-7|

thus for  $\frac{-3}{2}$ equality is not satisfied

Case 3   $x\geq 7$

take x=7

|17| is greater than |0|

Thus for$x\geq 7$ is the required region