Graphing and Writing Inequalities

The video tutorial covers the basics of inequalities, explaining that they are mathematical sentences comparing expressions. It introduces the four inequality symbols and their meanings. The tutorial then demonstrates how to write inequalities using keywords and solve them to find solution sets. Finally, it explains how to graph inequalities on a number line, providing examples for better understanding.

What does the prefix 'in' in 'inequality' imply?

• Infinite

• Independent

• Inside

• Not equal

Which symbol represents 'less than or equal to'?

• <

• >

• <=

• >=

In the expression 'x + 5 is more than 11', which inequality symbol is used?

• >=

• <=

• >

• <

What does 'the quotient of w and -3 is at most 5' translate to in inequality form?

• w/-3 > 5

• w/-3 <= 5

• w/-3 < 5

• w/-3 >= 5

What does 'is at least' indicate in an inequality?

• Greater than or equal to

• Less than

• Greater than

• Less than or equal to

How many solutions does an inequality typically have?

• One

• A finite number

• Infinite

• No solutions

Is -4 a solution to the inequality 'x - 7 <= -10'?

• Yes

• No

• Cannot be determined

• Only if x is positive

When graphing 'x > -4' on a number line, what symbol is used at -4?

• A closed circle

• An open circle

• A square

• A triangle

For 'y <= 1.3', how is 1.3 represented on the graph?

• With an open circle

• With a closed circle

• Not represented

• With a dash

If 'w <= -2 1/2', which direction does the arrow point on the graph?

• Upwards

• Downwards

• To the left

• To the right