SOLUTION: solve and graph the inequality. 11+x<4

Algebra.Com
Question 164875: solve and graph the inequality.
11+x<4
Found 2 solutions by jim_thompson5910, KnightOwlTutor:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality


Subtract 11 from both sides


Combine like terms


So the solution is


To graph the inequality, plot -7 on a number line (as an open circle) and shade to the left.
Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!
You first need to simplify the equation
Subtract 11 from both sides
x<-7

Since there is no y this is a vertical line perpendicular to the x axis. Draw a segmented line because the inequality does not include the value of -7. Everything to the left of the vertical line at x=-7 is shaded.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: -7. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite
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