Inequalities and Height Requirements

The video tutorial covers lesson 4.2 on solving inequalities using addition and subtraction. It explains the properties of inequalities, provides examples of solving inequalities using both addition and subtraction, and demonstrates how to graph the solutions on a number line. The tutorial also includes a real-life application example involving height requirements for becoming an astronaut pilot for NASA.

What does the addition property of inequality state?

• Adding different numbers to both sides of an inequality keeps the inequality true.

• Adding the same number to both sides of an inequality keeps the inequality true.

• Adding the same number to both sides of an inequality changes the inequality.

• Adding zero to both sides of an inequality changes the inequality.

If a is greater than b, what happens when you subtract the same number from both sides?

• The inequality reverses.

• The inequality remains true.

• The inequality becomes false.

• The inequality becomes an equation.

In Example 1, what is the first step to solve the inequality x + 5 < -3?

• Divide both sides by 5.

• Add 5 to both sides.

• Subtract 5 from both sides.

• Multiply both sides by 5.

How is the solution x < 2 represented on a number line?

• A closed circle at 2, shaded to the right.

• An open circle at 2, shaded to the left.

• A closed circle at 2, shaded to the left.

• An open circle at 2, shaded to the right.

In Example 2, what operation is used to isolate the variable in 13 ≤ x + 14?

• Subtraction

• Addition

• Division

• Multiplication

What does the inequality -11 ≤ x mean when graphed?

• x is equal to -11.

• x is greater than or equal to -11.

• x is less than or equal to -11.

• x is not equal to -11.

In Example 3, what is the maximum height allowed for an astronaut pilot?

• 6.5 feet

• 5.9 feet

• 6.25 feet

• 5.75 feet

How much can your friend grow to still meet the height requirement for an astronaut pilot?

• 0.5 feet

• 0.25 feet

• 0.75 feet

• 1 foot

What is the first step in solving the inequality for your friend's height?

• Add 5.75 to both sides.

• Divide both sides by 5.75.

• Subtract 5.75 from both sides.

• Multiply both sides by 5.75.

What is the equivalent decimal form of 5' 9"?

• 5.85

• 5.8

• 5.75

• 5.9