Day A: Graphing Inequalities in Two Variables #1

What type of line is used with < and >?

• solid

• dashed

What type of line is used with

 $\le\ and\ \ge?$  

• solid

• dashed

Notice the vertical, dashed line. Notice that the shading is to the LEFT. The words LESS and LEFT start with L.

• x < 2

• choose the first option

What is the equation for this inequality graph?

• y > -1

• y < -1

• x < -1

• x > -1

Answer explanation

The dashed line crosses the x-axis. Therefore, the equation uses x, not y.

What is the equation for this inequality graph? (The line is dashed.)

• x < 4

• x > 4

• y < 4

• y < 4

What is the equation of this graph? Notice that the dashed line is horizontal and crossing the y-axis.

• x > 3

• x < 3

• y < 3

• y > 3

Try another one. This line is solid.

• $y\ \ge\ 3$

• $y\ \le\ 3$

• $y\ <\ 3$

• $y\ >\ 3$

Which equation represents this inequality?

• $y\ <\ x\ -\ 6$

• $y\ \le\ -x\ -\ 6$

• $y\ \ge\ -x\ -\ 6$

• $y\ >\ x\ -\ 6$

Is (-2, -2) a solution to this inequality?

• yes

• no

Answer explanation

The point (-2, -2) is ON the dashed line.

What is the equation of this inequality?

• $y\ <\ 3x\ +\ 4$

• $y\ >\ 3x\ +\ 4$

• $y\ \le\ 3x\ +\ 4$

• $y\ \ge\ 3x\ +\ 4$