How do you solve and graph #-h/10<=2#?

1 Answer
Shantelle
Jul 25, 2018

#h >= -20#

Explanation:

#-h/10 <= 2#

To solve for #h#, multiply both sides by #color(blue)(-3)#. However, when we multiply or divide by a negative value in inequalities, the sign changes. In this example, the #<=# would change to #>=#:
#-h/10 * -10 color(blue)(>=) 2 * -10#

Therefore,
#h >= -20#

Here's a graph of it on a number line:
enter image source here
(mathwarehouse.com)

The closed circle on #-20# means that it is a solution (and anything more than it is too).

Hope this helps!

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