Solving and Graphing Inequalities

In this video, Jeff Jacobson teaches how to solve inequalities using addition and subtraction. He demonstrates that adding or subtracting the same number from both sides of an inequality keeps it true. The video includes examples of solving and graphing inequalities, such as x - 3 > 1 and 15 >= 6 + x. Additionally, a word problem involving an elevator's weight capacity is solved to illustrate the application of inequalities in real-life scenarios.

What is the main focus of the video tutorial?

• Understanding quadratic equations

• Graphing linear equations

• Solving inequalities using addition and subtraction

• Solving equations using multiplication and division

What happens when you add the same number to both sides of an inequality?

• The inequality remains true

• The inequality reverses

• The inequality becomes an equation

• The inequality becomes false

If you subtract the same number from both sides of an inequality, what is the result?

• The inequality becomes false

• The inequality remains true

• The inequality becomes an equation

• The inequality reverses

What is the first step in solving the inequality x - 3 > 1?

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

How can you verify the solution to the inequality x - 3 > 1?

• By substituting a number greater than 4

• By substituting the number 4

• By substituting a number less than 4

• By substituting the number 3

What type of circle is used to graph the inequality x > 4?

• Closed circle

• Open circle

• Dotted circle

• Shaded circle

What is the first step in solving the inequality 15 >= 6 + x?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

• Divide both sides by 6

How is the inequality 9 >= x rewritten for graphing purposes?

• x >= 9

• x <= 9

• x > 9

• x < 9

What is the maximum additional weight the elevator can hold if a 180 lb man is already inside?

• 1,500 lb

• 1,320 lb

• 1,680 lb

• 1,200 lb

What inequality represents the elevator's weight capacity problem?

• 180 + w > 1500

• 180 + w < 1500

• 180 + w <= 1500

• 180 + w >= 1500