Solving Two Step Inequalities Challenge

This video tutorial explains how to solve two-step inequalities, highlighting the differences from solving equations, such as using inequality symbols instead of equal signs and having a set of solutions. It covers the rule of flipping the inequality symbol when multiplying or dividing by a negative number. The video provides three examples, demonstrating how to solve and graph inequalities on a number line, emphasizing the importance of open and closed circles to represent solutions.

What is the main difference between solving equations and solving inequalities?

• Equations use inequality symbols.

• Inequalities are always more complex than equations.

• Equations always have more than one solution.

• Inequalities use different symbols and can have multiple solutions.

What happens to the inequality symbol when you multiply or divide by a negative number?

• It stays the same.

• It flips to the opposite direction.

• It becomes an equal sign.

• It disappears.

In the inequality 3x - 4 < -10, what is the first step to isolate x?

• Subtract 4 from both sides.

• Add 4 to both sides.

• Multiply both sides by 3.

• Divide both sides by 3.

After solving 3x - 4 < -10, what is the solution for x?

• x ≤ -2

• x = -2

• x > -2

• x < -2

How do you represent that x cannot equal a certain number on a number line?

• With a closed circle.

• With a dashed line.

• With a shaded region.

• With an open circle.

In the inequality -5x + 3 < -12, what is the first step to isolate x?

• Subtract 3 from both sides.

• Add 3 to both sides.

• Multiply both sides by -5.

• Divide both sides by -5.

What is the solution for x in the inequality -5x + 3 < -12 after solving it?

• x > 3

• x = 3

• x ≤ 3

• x < 3

In the inequality x/3 + 7 ≤ 8, what is the first step to isolate x?

• Multiply both sides by 3.

• Subtract 7 from both sides.

• Add 7 to both sides.

• Divide both sides by 3.

What is the solution for x in the inequality x/3 + 7 ≤ 8 after solving it?

• x > 3

• x ≥ 3

• x < 3

• x ≤ 3

How do you represent that x can equal a certain number on a number line?

• With a closed circle.

• With a dashed line.

• With a shaded region.

• With an open circle.