Inequalities and Their Solutions

This video tutorial covers solving and graphing one-step inequalities. It begins with an introduction to inequalities and their symbols, followed by instructions on graphing inequalities using open and closed dots. The tutorial then explains how to write inequalities from graphs and solve one-step inequalities with examples. It also covers handling inequalities involving multiplication and division, including special considerations for negative numbers. The video concludes with solving word problems and a recap of key points.

What is the main focus of today's algebra lesson?

• Solving one-step inequalities

• Graphing linear equations

• Solving quadratic equations

• Understanding complex numbers

Which symbol represents 'less than' in inequalities?

• >

• <

• ≥

• =

What does a closed circle on a graph indicate?

• The inequality is false

• The graph is incorrect

• The number is included

• The number is not included

If 7 is greater than x, where should the open circle be placed on the number line?

• At 0

• At 7

• At x

• At -7

How do you solve the inequality 22 > m - 16?

• Multiply both sides by 16

• Subtract 16 from both sides

• Divide both sides by 16

• Add 16 to both sides

What is the result of solving 22 > m - 16?

• m ≤ 38

• m ≥ 38

• m < 38

• m > 38

When solving inequalities by division, what must you remember if dividing by a negative number?

• Subtract the negative number from both sides

• Add the negative number to both sides

• Flip the inequality sign

• Keep the inequality sign the same

What is the inequality solution for x when dividing both sides by a negative number?

• x ≤ 0

• x ≥ 0

• x < 0

• x > 0

How do you handle fractions in inequalities?

• Add the fraction to both sides

• Multiply by the reciprocal

• Ignore the fraction

• Subtract the fraction from both sides

In a word problem, if Kelsey has $65 to spend and buys items totaling $32, what is the maximum she can spend on jeans?

• $33

• $97

• $32

• $65