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

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Question 164875: solve and graph the inequality.
11+x<4

Found 2 solutions by jim_thompson5910, KnightOwlTutor:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
11%2Bx%3C4 Start with the given inequality


cross%2811-11%29%2Bx%3C4-11 Subtract 11 from both sides


x%3C-7 Combine like terms


So the solution is x%3C-7


To graph the inequality, plot -7 on a number line (as an open circle) and shade to the left.

Answer by KnightOwlTutor(293) About Me  (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

graph%28+500%2C+500%2C+-7-5%2C+-7%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A-7+%29+