Graphing Inequalities

What symbol do you use for a closed dot when graphing inequalities?

• >

• <

• ≤, ≥

• ≠

What does the inequality x ≥ -1 look like on a number line?

• Open dot at -1 and shading to the left.

• Closed dot at -1 and shading to the right.

• Closed dot at -1 and shading to the left.

• Open dot at -1 and shading to the right.

What symbol do you use for an open dot when graphing inequalities?

• <

• <=

• <, >

• <, >=

If a number line graph has a closed dot at 0 and shading to the left, what inequality does it represent?

• x < 0

• x = 0

• x ≤ 0

• x > 0

How do you represent the inequality x > 5 on a number line?

• Open dot at 5 and shading to the right.

• Closed dot at 5 and shading to the left.

• Open dot at 5 and shading to the left.

• Closed dot at 5 and shading to the right.

How do you represent the inequality x ≤ -2 on a number line?

• Open dot at -2 and shading to the right.

• Closed dot at -2 and shading to the left.

• Closed dot at -2 and shading to the right.

• Open dot at -2 and shading to the left.

What is the difference between an open dot and a closed dot on a number line?

• Open dot means the number is included; closed dot means it is not included.

• Open dot means the number is not included; closed dot means it is included.

• Open dot indicates a negative value; closed dot indicates a positive value.

• Open dot represents a fraction; closed dot represents a whole number.

What does the symbol '≤' mean in an inequality?

• Less than or equal to.

• Greater than or equal to.

• Strictly less than.

• Strictly greater than.

What does the symbol '≥' mean in an inequality?

• Less than

• Greater than

• Greater than or equal to

• Equal to

What is the purpose of graphing inequalities?

• To visually represent the solutions of the inequality on a number line.

• To find the roots of a polynomial equation.

• To calculate the area under a curve.

• To determine the slope of a linear function.