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

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


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
#1

x%2B10%3E4 Start with the given inequality



x%3E4-10Subtract 10 from both sides


x%3E-6 Combine like terms on the right side

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Answer:
So our answer is x%3E-6

Now let's graph the solution set


Start with the given inequality:

x%3E-6

Set up a number line:
number_line%28500%2C-16%2C4%29

Now plot the point x=-6 on the number line


number_line%28500%2C-16%2C4%2C+-6%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E-6


0%3E-6 Plug in x=0


Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point x=-6 as the boundary.This means we shade everything to the right of the point x=-6 like this:
Graph of x%3E-6 with the shaded region in blue
note: at the point x=-6, there is an open circle. This means the point x=-6 is excluded from the solution set.




#2
write the inequality in words. x<5


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