U7L5 Linear Inequalities

Graphing Linear Inequalities

Multiple Choice

How would you graph the following linear inequality?

y ≥ 4

• Dashed line, shade above

• Dashed line, shade below

• Solid line, shade above

• Solid line, shade below

Multiple Choice

How would you graph the following linear inequality?

$$y\ ≤\ \frac{4}{3}x\ -\ 4$$  

• Dashed line, shade above

• Dashed line, shade below

• Solid line, shade above

• Solid line, shade below

Graphing Linear Inequalities is the same as graphing lines.

With the addition of shading above or below. We also have check if it is dotted or solid.

Multiple Choice

Is it dotted or solid?   $$y<\frac{1}{2}x+5$$  

• dotted

• solid

Multiple Choice

Is it dotted or solid?   $$y\ge3x-5$$  

• dotted

• solid

Multiple Choice

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >

• ≤, ≥

Multiple Choice

When you graph an inequality, you use a solid line when you use which symbols?

• ≤, ≥

• <, >

What are the solutions to a linear equality?

• Any point (x,y) that satisfies the inequality (makes it true)

• Any point (x,y) that is in the SHADED region when the inequality is graphed.

• Any point (x,y) that is ON THE LINE when the line is a SOLID LINE.

• Any points ON a dotted line are NOT solutions.

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (0,5)

• (-2,2)

• (-3,4)

• (-1,1)

• (-4,0)

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (-4,3)

• (1,3)

• (4,-5)

• (1,-5)

• (-3,-5)

Multiple Choice

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Multiple Choice

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.