System of Equations & Inequalities

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5/5 EXS. Use desmos.com for help.

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1. Match the rows and columns for the given inequality y>=1/2x -1 . There should only be three solutions; one for each row topic. *

1 point

Shaded below

Solid; includes value in solution set

Shaded above

Dotted; does not include value in solution set

Less than or equal to

Greater than or equal to

Boundary line will be:

Solutions will be shaded:

Value is y is:

2. Which inequality below matches the graphed inequalities? *

1 point

y< x + 2 & y<= 2x - 1

y< x - 2 & y<= 2x + 1

y< x + 2 & y>= 2x - 1

y<= x + 2 & y<= 2x - 1

Other:

3. Which graphs represents the system y<=x-1 & y>2x ? *

1 point

Option 1

Option 2

Option 3

Option 4

Other:

3a. Using the inequalities in the previous problem y<=x-1 & y>2x; match the characteristic in each column for each row(inequality). *

2 points

Dotted boundary line is shaded above & crosses the y-axis at -1.

Solid boundary line is shaded below & crosses the y-axis at -1.

Dotted boundary line is shaded above & crosses the y-axis at 0.

Solid boundary line is shaded above & crosses the y-axis at 0.

y<=x-1

y>2x

Hint: Use Desmos.com and enter both equations. Remember the solution to a system of equations is the (x,y) point the satisfy both equations.

Option 1

Clear selection

1. Determine the solution to the system of equations below and graph them on paper. *

1 point

(1, 0)

(3, 0)

(-3, 0)

(-1, 0)

2. Determine the solution to the system of equations below and graph them on paper. *

1 point

(1, 0)

(2, 0)

(-2, 0)

(-1, 0)

Other:

3. Determine the solution to the system of equations below and graph them on paper. *

1 point

Infinitely Many Solutions

One solution

Two solutions

No solution

Other:

4. Determine the solution to the system of equations below and graph them on paper. *

1 point

Infinitely Many Solutions

No Solutions

Two Solutions

One Solution

Other:

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