How do you solve and graph #x + 5 ≤ 10#?

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Answer 1 · 2018-07-21T21:05:02

#x <= 5#

#x + 5 <= 10#

To solve this, subtract #color(blue)5# from both sides of the inequality:
#x + 5 quadcolor(blue)(-quad5) <= 10 quadcolor(blue)(-quad5)#

#x <= 5#

This can be said as "#x# is less than or equal to #5#."

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

The open circle on #5# means that #5# is one of the solutions (and anything less than it).

Hope this helps!