Math, asked by Hotgyus, 1 month ago

I hope u will not disappoint me


please

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Answers

Answered by senboni123456
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\}}

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