Solving Algebraic Inequalities

This video tutorial explains how to solve algebraic inequalities with two inequality signs. It covers step-by-step solutions for two example problems, including handling inequalities involving whole numbers. The tutorial also demonstrates how to visualize solutions on a number line and provides tips for solving similar problems in exams.

What is the main goal when solving algebraic inequalities with two inequality signs?

• To eliminate all variables

• To isolate the variable in the middle

• To add more inequality signs

• To convert them into equations

When isolating the variable in the middle, what must you remember to do?

• Change the middle and one side

• Only change the middle section

• Ignore the sides

• Change all sections equally

What is the first step in solving an inequality with a variable in the middle?

• Divide all parts by a constant

• Multiply all parts by a constant

• Subtract a constant from all parts

• Add a constant to all parts

In the first inequality example, what operation is performed first?

• Addition

• Multiplication

• Subtraction

• Division

After subtracting 3 from all parts in the first example, what is the next step?

• Subtract 2 from all parts

• Divide all parts by 2

• Multiply all parts by 2

• Add 3 to all parts

What is the final solution for x in the first inequality problem?

• x is greater than 3

• x is between -3 and 3

• x is equal to 0

• x is less than -3

What is the result of dividing all parts of an inequality by the same number?

• The inequality signs are flipped

• The inequality becomes invalid

• The inequality remains balanced

• The inequality becomes an equation

In the second inequality, what is the first operation performed?

• Add 2 to all parts

• Subtract 2 from all parts

• Multiply all parts by 3

• Divide all parts by 3

What must you remember when multiplying or dividing an inequality by a negative number?

• Remove the inequality signs

• Add a new inequality sign

• Flip the inequality signs

• Keep the inequality signs the same

What is the final solution for x in the second inequality problem?

• x is less than -6

• x is equal to 0

• x is greater than 21

• x is between -6 and 21