SOLUTION: 1. solve and graph the solution set on a number line x+10>4 2. write the inequality in words. x<5

Question 117861: 1. solve and graph the solution set on a number line
x+10>4
2. write the inequality in words. x<5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1

Start with the given inequality

Subtract 10 from both sides

Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is

Now let's graph the solution set

Start with the given inequality:

Set up a number line:

Now plot the point on the number line

Now pick any test point you want, I'm going to choose x=0, and test the inequality

Plug in

Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point as the boundary.This means we shade everything to the right of the point like this:
Graph of with the shaded region in blue
note: at the point , there is an open circle. This means the point is excluded from the solution set.

#2
write the inequality in words. x<5

x<5----> "x (or some number) is less than 5"

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