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