Inequalities and Their Solutions

This video tutorial by Mr. Gills covers solving inequalities using addition and subtraction. It explains the properties of inequalities, how to graph them on a number line, and provides practice problems. The tutorial also includes a real-world application involving height restrictions for astronauts. Students are encouraged to solve and graph inequalities, reinforcing their understanding through examples and practice.

What happens to an inequality when you add the same number to both sides?

• The inequality becomes false.

• The inequality remains true.

• The inequality reverses direction.

• The inequality becomes an equation.

Which of the following is true when you subtract the same number from both sides of an inequality?

• The inequality becomes an equation.

• The inequality reverses direction.

• The inequality remains true.

• The inequality becomes false.

In the example x - 5 < -3, what is the solution for x?

• x > 2

• x ≤ 2

• x < 2

• x = 2

When graphing the solution x < 2, what type of circle is used at 2?

• No circle

• Double circle

• Open circle

• Closed circle

Why is it important to rewrite inequalities with the variable first?

• To change the inequality direction.

• To avoid mistakes in graphing.

• To simplify the inequality.

• To make the inequality false.

In the inequality -2 > z - 4, what is the correct rewritten form?

• z > -2

• z > 2

• z < -2

• z < 2

What is the maximum height in feet an astronaut can be according to the given inequality?

• 5.9 feet

• 6.25 feet

• 5.75 feet

• 6.5 feet

If a friend is 5'9" tall, how much more can they grow to meet the astronaut height requirement?

• 6 inches

• 4 inches

• 5 inches

• 7 inches

What is the decimal equivalent of 5 feet 9 inches?

• 5.9

• 5.5

• 5.75

• 5.25

Which inequality represents a height that is no taller than 6.25 feet?

• h ≤ 6.25

• h < 6.25

• h ≥ 6.25

• h > 6.25