Solving Inequalities with One Variable by Graphing on a Number Line

The video tutorial teaches how to solve inequalities with one variable by graphing on a number line. It explains the use of symbols to express relationships like greater than, less than, and their equal counterparts. The tutorial demonstrates graphing inequalities using open and closed circles on a number line, showing solution sets. It covers solving complex inequalities and applies these concepts to real-world problems, such as calculating earnings to meet a savings goal.

What does an open circle on a number line indicate when graphing an inequality?

• The number is included in the solution set.

• The number is not included in the solution set.

• The inequality has no solution.

• The inequality is an equation.

How do you solve an inequality that looks like an equation?

• By adding or subtracting the same value from both sides.

• By dividing both sides by zero.

• By ignoring the inequality sign.

• By multiplying both sides by zero.

In the inequality x - 5 ≥ 6, what is the first step to solve for x?

• Multiply both sides by 5.

• Add 5 to both sides.

• Subtract 5 from both sides.

• Divide both sides by 5.

What does a closed circle on a number line represent?

• The number is not part of the solution set.

• The number is part of the solution set.

• The inequality is an equation.

• The inequality is unsolvable.

If you have $20 and earn $5 per hour, how many hours must you work to have at least $100?

• 20 hours

• 16 hours

• 25 hours

• 10 hours