Question

I hope u will not disappoint me


please
​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\bb{|x+3|\le5}$

$\sf{\implies(|x+3|)^2\le(5)^2}$

$\sf{\implies\,x^2+6x+9\le25}$

$\sf{\implies\,x^2+6x+9-25\le0}$

$\sf{\implies\,x^2+6x-16\le0}$

$\sf{\implies\,x^2+8x-2x-16\le0}$

$\sf{\implies\,x(x+8)-2(x+8)\le0}$

$\sf{\implies\,(x-2)(x+8)\le0}$

$\sf{\implies\,-8\le\,x\,\le2}$

$\sf{\implies\,\left\{x\,|\,x\in\mathbb{R},\,-8\,\le\,x\,\le\,2\right\}}$