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How do you solve and graph $8 x + 5 \leq 3 x + 6$ $8x+5<=3x +6$ ?

1 Answer

Jul 22, 2015

$x \leq \frac{1}{5}$ $x <= 1/5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ (see below for graph)

Explanation:

$8 x + 5 \leq 3 x + 6$ $8x+5 <= 3x +6$

$\Rightarrow$ $rArr$ $XXXX$ $color(white)("XXXX")$ $5 x \leq 1$ $5x <= 1$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ (after subtracting $(3 x + 5)$ $(3x+5)$ from both sides)

$\Rightarrow$ $rArr$ $XXXX$ $color(white)("XXXX")$ $x \leq \frac{1}{5}$ $x <= 1/5$

This could be graphed on a number line as:
enter image source here

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