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Solving and graphing inequalities and system of inequalities

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1.) Solve and graph.
3x+13
The solution is {x|x ____}

2.) Solve and graph.
3x+3 or 6x + 3
The solution is {x|x _____}

3.) Solve the system by the elimination method.
5x+2y=-11
7x+3y=19
What is the solution to the system?
_______________
(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solution.)

4.) Graph and write the solution in interval notation.

x<5 and x
Write the solution in interval notation.

5.) Graph the inequality on a plane.
4x+5y

6.) Solve. Then graph.
a+6
The solution is {a|a ________}.

7.) Graph the system of inequalities.

x
y

8.) Graph system of equations
x+y=3, y =-x+6
x-y=3,y =x+6

Are the equations dependent or independent.

Are they consistent or not consistent.

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Solution Preview

Hi, Please find the explanations/solutions attached herewith.

1.) Solve and graph.
3x+13
The solution is {x|x ____}

Solution:

3x + 13 ≥ 4
 3x ≥ 4- 13
 3x ≥ - 9
 x ≥ -3

and

3x - 20 ≥ -11
3x ≥ -11 + 20
3x ≥ 9
x≥ 3

The solution will be {x|x≥ 3}

2.) Solve and graph.
3x+3 or 6x + 3
The solution is {x|x _____}

Solution:

3x+3
 3x - 3
 3x
 x

OR

6x + 3
6x
x

The solution is {x|x -7}

...

Solution Summary

This solution includes step by step explanation of several problems on solving and graphing inequalities and system of equations/inequalities.

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