Solving Inequalities and Equations

The video tutorial explains how to solve inequalities by first treating them as equations. It emphasizes the importance of undoing operations on the variable, starting with addition and subtraction, followed by multiplication and division. The tutorial also highlights the need to reapply the inequality sign and check for any negative multiplication or division, which requires flipping the sign. Finally, it demonstrates how to graph the solution on a number line, ensuring the correct interpretation of the inequality.

What is the first step when solving an inequality according to the video?

• Graph the inequality immediately

• Focus on the inequality sign

• Check for negative numbers first

• Solve the equation as if it were an equality

What should you identify first when solving an equation?

• The constant

• The variable

• The graph

• The inequality sign

What is the variable in the example given in the video?

• z

• x

• p

• y

What operation is performed by the number 7 in the example?

• Subtracting from the variable

• Adding to the variable

• Multiplying the variable

• Dividing the variable

What operations should be undone first in an equation?

• Multiplication and division

• Addition and subtraction

• Exponentiation

• Inequality flipping

What is the result after undoing the addition of 7 in the example?

• p = 10

• p = 0

• p = 7

• p/2 = 3

How do you undo division in an equation?

• By subtracting

• By multiplying

• By dividing again

• By adding

What is the final value of p in the example?

• p = 9

• p = 6

• p = 12

• p = 3

When should you flip the inequality sign?

• When the variable is isolated

• When subtracting a positive number

• When multiplying or dividing by a negative number

• When adding a negative number

What should you do if you multiply or divide by a negative number?

• Add a positive number

• Subtract a positive number

• Flip the inequality sign

• Ignore the inequality sign