SOLUTION: Solve the inequality. Graph your solution. 2y+7>11

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Question 107459This question is from textbook Pre-Algebra
: Solve the inequality. Graph your solution.
2y+7>11 This question is from textbook Pre-Algebra

Found 2 solutions by MathLover1, jim_thompson5910:
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
.....move to the right

.....divide both sides by

graph as an equation , and see that there are no for what is :
This inequality is a common "real life" constraint: only allowing to be then . The line "" is just the line parallel to , and we want the all positive values of above the line. You need to dash the line in, because this isn't an "or equal to" inequality, so the "solution" of the system is the shaded part above the line.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

This equation defines a horizontal line. There is no X intercept. Y intercept is

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the given inequality

Subtract 7 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate y

Divide

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Answer:
So our answer is

Now let's graph the solution set

Start with the given inequality:

Set up a number line:
note: just replace the x with the variable you are working with

Now plot the point on the number line

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

Plug in

Since this inequality is not true, we simply shade the entire portion that does not contain the point y=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.