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

2 Answers
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) #

#rarrcolor(blue)(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.