Solving Inequalities and Interval Notation

What should you do when you multiply or divide an inequality by a negative number?

• Multiply the result by -1

• Keep the inequality sign the same

• None of the above

• Flip the inequality sign

What symbol is used in interval notation to represent that an endpoint is included in the solution?

• Brackets

• None of the above

• Parentheses

• Both parentheses and brackets

In interval notation, what does an open circle on a graph typically correspond to?

• Brackets

• Parentheses

• A solid line

• A dashed line

How is negative infinity represented in interval notation?

• With a dash

• With a solid line

• With a parenthesis

• With a bracket

When graphing the inequality x < -5, in which direction should the line on the graph extend?

• To the right

• To the left

• Neither direction

• Both directions

What is the correct interval notation for an inequality solution that includes the number 4 and extends to positive infinity?

• [4, ∞)

• (4, ∞)

• (4, ∞]

• [4, ∞]

If an inequality is solved and x > -7, how would this be represented on a number line?

• Closed circle at -7, line extending right

• Closed circle at -7, line extending left

• Open circle at -7, line extending left

• Open circle at -7, line extending right

What does the interval notation [a, b) indicate about the values a and b?

• Neither a nor b is included

• Both a and b are included

• a is included, b is not included

• b is included, a is not included

In the context of inequalities, what does it mean to 'flip' the inequality?

• Square the inequality

• Double the values on both sides

• None of the above

• Reverse the direction of the inequality

Which of the following is true about using parentheses in interval notation for infinities?

• Brackets are used for positive infinity and parentheses for negative infinity

• Parentheses are used for positive infinity and brackets for negative infinity

• Brackets are used for both positive and negative infinities

• Parentheses are used for both positive and negative infinities