Solving Inequalities with Addition and Subtraction

The video tutorial covers lesson 4.2 on solving inequalities using addition and subtraction. It explains the properties of inequalities, demonstrating how adding or subtracting the same number from both sides keeps the inequality true. The tutorial includes examples of solving inequalities using both addition and subtraction, followed by graphing the solutions on a number line. A real-life application is also discussed, involving height requirements for becoming an astronaut pilot.

What does the addition property of inequality state?

• Adding different numbers to each side of an inequality changes the inequality's truth.

• Adding the same number to each side of an inequality changes the inequality's truth.

• Subtracting the same number from each side of an inequality changes the inequality's truth.

• Adding the same number to each side of an inequality keeps the inequality's truth unchanged.

What is the result of adding 2 to both sides of the inequality -4 < 3?

• 2 < 3

• -2 > 5

• -6 < 1

• -2 < 5

How do you solve an inequality using addition?

• By subtracting the same number from both sides

• By adding the inverse operation to both sides

• By adding the same number to both sides

• By multiplying the same number to both sides

What symbol is used on the number line to represent a value that is not included in the solution?

• A triangle

• A square

• An open circle

• A closed circle

What does the subtraction property of inequality state?

• Subtracting different numbers from each side of an inequality keeps the inequality's truth unchanged.

• Adding the same number to each side of an inequality changes the inequality's truth.

• Subtracting the same number from each side of an inequality changes the inequality's truth.

• Subtracting the same number from each side of an inequality keeps the inequality's truth unchanged.

After subtracting 14 from both sides of the inequality 13 ≤ X + 14, what is the new inequality?

• X ≤ -1

• 1 ≥ X

• X ≥ -1

• -1 ≤ X

How is the variable isolated when solving an inequality using subtraction?

• By multiplying both sides by the number next to the variable

• By dividing both sides by the number next to the variable

• By subtracting the number next to the variable from both sides

• By adding the number next to the variable to both sides

What is the maximum height a person can be to become an astronaut pilot for NASA?

• 5.9 feet

• 6 feet

• 6.25 feet

• 5.75 feet

If your friend is 5 feet 9 inches tall, how much more can they grow to meet the astronaut pilot requirement?

• 0.5 feet

• 1 foot

• 0.75 feet

• 0.25 feet

How do you convert 5 feet 9 inches into a decimal form?

• 6.0

• 5.25

• 5.75

• 5.9