Solving Two-Step Inequalities in Middle School Math

The video tutorial explains how to solve inequalities similarly to equations, highlighting the difference that inequalities have infinite solutions. It covers the symbols used in inequalities and provides three examples demonstrating how to solve them using addition, subtraction, and division. The tutorial also illustrates how to represent solutions on a number line, emphasizing the inclusion or exclusion of boundary numbers.

What is the main difference between solving equations and inequalities?

• Equations cannot be represented on a number line.

• Inequalities have a finite number of solutions.

• Inequalities have an infinite number of solutions.

• Equations are solved using different symbols.

Which symbol represents 'less than or equal to'?

• ≥

• ≤

• >

• <

In the inequality 2P + 4 < 10, what is the first step to isolate P?

• Subtract 4 from both sides.

• Add 4 to both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What is the solution to the inequality 2P + 4 < 10?

• P < 4

• P < 3

• P < 5

• P < 2

In the inequality 18G - 2 ≤ -20, what is the first step to isolate G?

• Divide both sides by 18.

• Multiply both sides by 18.

• Subtract 2 from both sides.

• Add 2 to both sides.

What is the solution to the inequality 18G - 2 ≤ -20?

• G ≤ -1

• G ≤ -2

• G ≤ -4

• G ≤ -3

In the inequality 1/10W - 1 ≥ 1, what is the first step to isolate W?

• Add 1 to both sides.

• Subtract 1 from both sides.

• Multiply both sides by 10.

• Divide both sides by 10.

What is the solution to the inequality 1/10W - 1 ≥ 1?

• W ≥ 10

• W ≥ 15

• W ≥ 20

• W ≥ 25

How do you represent the solution to the inequality G ≤ -1 on a number line?

• An open circle at -1 and shading to the left.

• A closed circle at -1 and shading to the left.

• An open circle at -1 and shading to the right.

• A closed circle at -1 and shading to the right.

What is the key takeaway for solving inequalities?

• Solve them the same way as equations.

• They cannot be represented on a number line.

• Always add numbers to both sides.

• Use different symbols than equations.