Solving Two Step Inequalities Challenge

The video tutorial introduces students to solving two-step inequalities, similar to solving two-step equations but with additional graphing and sign-flipping rules. It outlines the steps to solve these inequalities, including undoing addition/subtraction and multiplication/division, and provides multiple examples to illustrate the process. The tutorial emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number and encourages students to practice independently.

What is the first step in solving a two-step inequality?

• Undo the multiplication or division

• Graph the solution

• Undo the addition or subtraction

• Flip the inequality sign

In the inequality 4x - 2 ≥ 18, what is the result after adding 2 to both sides?

• 4x ≥ 16

• 4x ≥ 20

• 4x ≤ 20

• 4x ≤ 16

What is the next step after isolating the variable term in a two-step inequality?

• Add the constant to both sides

• Multiply or divide to remove the coefficient

• Graph the solution

• Flip the inequality sign

In the inequality x/2 + 4 < -7, what is the result after subtracting 4 from both sides?

• x/2 > -11

• x/2 < -3

• x/2 < -11

• x/2 > -3

When solving the inequality 1/4y + 1 < -11, what is the result after multiplying both sides by 4?

• y < -48

• y < -44

• y > -48

• y > -44

What must you remember to do when multiplying or dividing both sides of an inequality by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

In the inequality -6z - 4 ≤ -40, what is the result after adding 4 to both sides?

• -6z ≤ -36

• -6z ≥ -36

• -6z ≤ -44

• -6z ≥ -44

What is the result of dividing both sides of the inequality -6z ≤ -36 by -6?

• z ≥ 6

• z ≤ 6

• z ≤ -6

• z ≥ -6

In the inequality x/-5 < -9, what is the result after multiplying both sides by -5?

• x < -45

• x > -45

• x < 45

• x > 45

What is the final step after solving a two-step inequality?

• Graph the solution

• Flip the inequality sign

• Add the constant to both sides

• Multiply or divide to remove the coefficient