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SOLUTION: 1. solve and graph the solution set on a number line x+10>4 2. write the inequality in words. x<5
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-> SOLUTION: 1. solve and graph the solution set on a number line x+10>4 2. write the inequality in words. x<5
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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(33401)
(
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):
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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"