# 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 â‰¥ 4

ïƒ° 3x â‰¥ 4- 13

ïƒ° 3x â‰¥ - 9

ïƒ° x â‰¥ -3

and

3x - 20 â‰¥ -11

3x â‰¥ -11 + 20

3x â‰¥ 9

xâ‰¥ 3

The solution will be {x|xâ‰¥ 3}

2.) Solve and graph.

3x+3 or 6x + 3

The solution is {x|x _____}

Solution:

3x+3

ïƒ° 3x - 3

ïƒ° 3x

ïƒ° 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.