Question 1

I CANT FIGURE THIS OUT I NEED HELP

Solve and graph the inequality:

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

Question 2

Answer:

$x\leq 4$

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~

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