Question

I CANT FIGURE THIS OUT I NEED HELP

Solve and graph the inequality:

`-1/2x + 8\geq 6`

Answer 1

`x\leq 4`

Explanation:

Given:

`-(1)/(2)x+8\ge 6`

Solve:

`\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}`

`-(1)/(2)x+8-8\ge \:6-8`

`\mathrm{Simplify}`

`-(1)/(2)x\ge \:-2`

`Multiply\:both\:sides\:by\:-1`

`\left(-(1)/(2)x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)`

`\mathrm{Simplify}`

`(1)/(2)x\le \:2`

`\mathrm{Multiply\:both\:sides\:by\:}2`

`2\cdot (1)/(2)x\le \:2\cdot \:2`

`\mathrm{Simplify}`

`x\leq 4`

`\mathrm{Therefore,}`

`\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}`

~lenvy~