-x-2>2(3-x) solve the inequality

Question

-x-2>2(3-x) solve the inequality

0

Answers ( No )

    0
    2021-11-23T17:30:38+00:00

    Solution, -x-2>2\left(3-x\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>8\:\\ \:\mathrm{Interval\:Notation:}&\:\left(8,\:\infty \:\right)\end{bmatrix}

    Steps:

    \mathrm{Expand\:}2\left(3-x\right):\quad 6-2x, -x-2>6-2x

    \mathrm{Add\:}2\mathrm{\:to\:both\:sides}, -x-2+2>6-2x+2

    \mathrm{Simplify}, -x>-2x+8

    \mathrm{Add\:}2x\mathrm{\:to\:both\:sides},-x+2x>-2x+8+2x

    \mathrm{Simplify}, x>8

    The correct answer is x>8

    Hope This Helps!!!

Leave an answer

Browse
Browse