How do you solve $x \geq \frac{x + 6}{5}$ $x>=(x+6)/5$ and graph the solution on a number line?

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How do you solve $x \geq \frac{x + 6}{5}$ $x>=(x+6)/5$ and graph the solution on a number line?

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Answer 1 · 2016-09-11T22:00:38

$x \geq \frac{3}{2}$ $x>=3/2$

Explanation:

$x \geq \frac{x + 6}{5}$ $x>=(x+6)/5$

Multiply both sides by 5.
$5 \cdot x \geq (\frac{x + 6}{5}) \cdot 5$ $5*x>=((x+6)/5)*5$
$5 x \geq x + 6$ $5x>=x+6$

Subtract x from both sides.
$5 x - x \geq x + 6 - x$ $5x-x>=x+6-x$
$4 x \geq 6$ $4x>=6$

Divide both sides by 4.
$\frac{4 x}{4} \geq \frac{6}{4}$ $(4x)/4>=6/4$
$x \geq \frac{3}{2}$ $x>=3/2$

To graph on a number line, used a closed circle because of the $\geq$ $>=$ inequality. An open circle would be used if it were only $>$ $>$ The arrow points right to indicate greater than $\frac{3}{2}$ $3/2$ .

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How do you solve $x \geq \frac{x + 6}{5}$ $x>=(x+6)/5$ and graph the solution on a number line?

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