# How do you solve x + y > 4 + x?

Jul 23, 2015

Subtract $x$ from both sides of the inequality to get $y > 4$

#### Explanation:

This : $x + y > 4 + x$ is called an inequality.

The solution you get after solving an inequality is called a set(or otherwise a range of values)

Here's how it goes : subtract $x$ from both sides.

$x + y > 4 + x$ becomes color(red)x+ycolor(red)(-x)>4+color(red)(x-x)

$\rightarrow \textcolor{b l u e}{y > 4}$

I have the right to subtract an entity from both sides of an inequality because, this action leaves the inequality the same(unchanged)

For example : $4 + 1 < 5 + 1$ is true.

Now if remove the $1$ that's on either side, the condition is preserved.

That is, $4 < 5$ is still true!

Jul 24, 2015

Solve the inequality:
x + y > 4 + x

#### Explanation:

y > 4
The solution set of this inequality is the area above the horizontal line y = 4.
Any point (x, y) in this area would satisfy this inequality regardless of the value of x.