Solving One-Step Inequalities

The video tutorial by Mr. J explains how to solve one-step inequalities, similar to one-step equations, by isolating the variable using inverse operations. It highlights the importance of keeping equations balanced and flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes four examples demonstrating these concepts, showing how to solve inequalities by adding, subtracting, multiplying, and dividing, and testing solutions to ensure correctness.

What is the main goal when solving one-step inequalities?

• To add more variables to the equation

• To find the exact value of the variable

• To isolate the variable using inverse operations

• To eliminate all numbers from the equation

How do inequalities differ from equations in terms of solutions?

• Inequalities have a single solution, while equations have multiple solutions

• Equations have no solutions

• Both have an infinite number of solutions

• Inequalities can have multiple solutions, while equations have a single solution

What operation should be performed to isolate y in the inequality y + 7 < 8?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

If y is less than 1, which of the following is a possible value for y?

• 2

• 1

• 3

• 0

What is the inverse operation of dividing by 5 in the inequality x/5 ≥ 3?

• Dividing by 3

• Subtracting 5

• Adding 5

• Multiplying by 5

Which of the following values satisfies the inequality x ≥ 15?

• 10

• 14

• 15

• 13

In the inequality 14 ≥ n - 11, what operation should be used to isolate n?

• Subtract 11 from both sides

• Multiply both sides by 11

• Divide both sides by 11

• Add 11 to both sides

What is the solution to the inequality 14 ≥ n - 11?

• n ≥ 25

• n ≤ 25

• n < 25

• n > 25

Why do we flip the inequality sign when dividing by a negative number?

• To ensure the inequality remains true

• To eliminate the negative sign

• To make the inequality more complex

• To simplify the inequality

Which of the following values is a solution to the inequality -6r < 36?

• r = -2

• r = -5

• r = -7

• r = -6