How do you solve #4 >=x/-2#?

1 Answer
Jul 21, 2018

Answer:

#x >= -8#

Explanation:

#4 >= x/-2#

To solve this, multiply both sides by #color(blue)(-2)#. However, we know that when we multiply or divide by a negative number, the inequality sign changes to its opposite. In this case, it would change to #<=#
#4 * -2 color(blue)(<=) x/-2 * -2#

#-8 <= x#

#x >= -8#

This can be said as "#x# is more than or equal to #-8#."

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

The closed circle on #-8# means that #-8# is one of the solutions (and also anything more than it).

Hope this helps!