How do you solve and graph #4x+5>25#?

1 Answer
Bisma J.
Dec 11, 2017

Simplify it until there's only #x# and a constant (which in this case gets us #x > 5#), then shade the area that satisfies the inequality.

Explanation:

First, let's simplify #4x + 5 > 25#.

We could subtract #5# from both sides:

#4x + 5 - 5 > 25 - 5#

#4x > 20#

Then divide each side by #4#:

#(4x)/4 > 20/4#

#x > 5#

Time to graph! Usually, I'd draw a regular graph first (in this case, #x = 5#), as if it were an equal sign:

enter image source here

And then, I'd have a look at the simplified inequality. It says #x > 5#; #x# is more than #5#, so I'd shade the entire area that's more than #5#, which is to the right of the line.

enter image source here

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