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

1 Answer
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:

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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.

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