Solving One-Step Inequalities Challenge

This video tutorial covers solving one-step inequalities, similar to solving equations but with a key difference: when multiplying or dividing by a negative number, the inequality sign must be flipped. The tutorial includes examples using addition, subtraction, multiplication, and division, and emphasizes the importance of graphing solutions. Special attention is given to handling negative numbers and ensuring the inequality remains balanced. Practice problems are provided to reinforce the concepts.

What is the primary difference between solving one-step equations and one-step inequalities?

• There is no difference in the methods used.

• The inequality sign must be flipped when multiplying or dividing by a negative number.

• Inequalities require graphing the solutions.

• Inequalities do not require isolating the variable.

What should you do to both sides of the inequality when you are subtracting a number?

• Subtract the same number from both sides.

• Multiply by the inverse of the number.

• Subtract from one side only.

• Add the same number to maintain balance.

What should you do if an inequality involves adding 5 to the variable?

• Add 5 to both sides.

• Subtract 5 from both sides.

• Divide both sides by 5.

• Multiply both sides by 5.

If you divide both sides of an inequality by 12, what happens to the inequality sign?

• It remains the same unless 12 is negative.

• It disappears.

• It flips automatically.

• It changes to an equal sign.

When solving '12G < -48' by dividing by 12, what is the resulting inequality?

• G < 4

• G > -4

• G > 4

• G < -4

What is the correct graph representation when dividing by a negative number and the inequality is 'greater than'?

• A solid dot moving to the right.

• An open circle moving to the left.

• A solid dot moving to the left.

• An open circle moving to the right.

What happens to the inequality sign when dividing both sides by a negative number?

• It remains unchanged.

• It flips to the opposite inequality.

• It becomes an equal sign.

• It disappears from the equation.

In the inequality 'X + 19 ≤ 33', what is the solution for X after solving?

• X ≥ 52

• X ≥ 14

• X ≤ 52

• X ≤ 14

Why is it important to practice graphing inequalities?

• Graphing is optional in inequalities.

• Graphing does not provide additional insights.

• It helps in visualizing the solution set.

• It is only necessary for complex inequalities.

How do you verify a solution to an inequality?

• By substituting the boundary value only.

• By checking values less than the solution.

• By substituting values greater than and less than the solution.

• Verification is not required for inequalities.